{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "fb3015f0",
   "metadata": {},
   "source": [
    "## Analyzing Portfolio Sensitivities to the Fama-French Factors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "adf02f2a",
   "metadata": {},
   "outputs": [],
   "source": [
    "!pip install pandas_datareader"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "dceb538c",
   "metadata": {},
   "outputs": [],
   "source": [
    "import warnings"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "c8244873",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import pandas_datareader as pdr\n",
    "import statsmodels.api as sm\n",
    "from IPython.display import Markdown, display\n",
    "from openbb import obb\n",
    "from statsmodels import regression\n",
    "from statsmodels.regression.rolling import RollingOLS"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "eca3e74b",
   "metadata": {},
   "outputs": [],
   "source": [
    "warnings.filterwarnings(\"ignore\")\n",
    "obb.user.preferences.output_type = \"dataframe\""
   ]
  },
  {
   "cell_type": "markdown",
   "id": "77c2a960",
   "metadata": {},
   "source": [
    "Define the stock symbols including the benchmark \"SPY\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "1dece335",
   "metadata": {},
   "outputs": [],
   "source": [
    "symbols = [\"NEM\", \"RGLD\", \"SSRM\", \"CDE\", \"LLY\", \"UNH\", \"JNJ\", \"MRK\", \"SPY\"]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e2a7f2ba",
   "metadata": {},
   "source": [
    "Fetch historical price data for the defined symbols from 2015-01-01 to 2022-12-31 using the \"yfinance\" provider"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "1050e6b6",
   "metadata": {},
   "outputs": [],
   "source": [
    "data = obb.equity.price.historical(\n",
    "    symbols,\n",
    "    start_date=\"2015-01-01\",\n",
    "    end_date=\"2022-12-31\",\n",
    "    provider=\"yfinance\",\n",
    ").pivot(columns=\"symbol\", values=\"close\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "de812d93",
   "metadata": {},
   "source": [
    "Calculate the monthly percentage returns and convert the index to a monthly period"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "99c44acc",
   "metadata": {},
   "outputs": [],
   "source": [
    "monthly_returns = data.asfreq(\"ME\").pct_change(fill_method=None).to_period(\"M\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f81bcd76",
   "metadata": {},
   "source": [
    "Separate the benchmark returns from the portfolio returns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "4ffccfd5",
   "metadata": {},
   "outputs": [],
   "source": [
    "bench = monthly_returns.pop(\"SPY\")\n",
    "R = monthly_returns.mean(axis=1)\n",
    "active = (R - bench).dropna()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f605a54c",
   "metadata": {},
   "source": [
    "Fetch the Fama-French factors data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "b1fb7da7",
   "metadata": {},
   "outputs": [],
   "source": [
    "factors = (\n",
    "    pdr.get_data_famafrench(\n",
    "        \"F-F_Research_Data_Factors\",\n",
    "        start=\"2015-01-01\",\n",
    "        end=\"2022-12-31\",\n",
    "    )[0][1:]\n",
    "    / 100\n",
    ")\n",
    "SMB = factors.loc[active.index, \"SMB\"]\n",
    "HML = factors.loc[active.index, \"HML\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "8e1d05d4",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Help on function get_data_famafrench in module pandas_datareader.data:\n",
      "\n",
      "get_data_famafrench(*args, **kwargs)\n",
      "\n"
     ]
    }
   ],
   "source": [
    "help(pdr.get_data_famafrench)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "308ef64a",
   "metadata": {},
   "source": [
    "Create a DataFrame with the active returns and Fama-French factors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "1dec3ba7",
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.DataFrame(\n",
    "    {\n",
    "        \"R\": active,\n",
    "        \"SMB\": SMB,\n",
    "        \"HML\": HML,\n",
    "    },\n",
    "    index=active.index,\n",
    ").dropna()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e1919be6",
   "metadata": {},
   "source": [
    "Perform linear regression to estimate the sensitivities of active returns to the factors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "892d7ae7",
   "metadata": {},
   "outputs": [],
   "source": [
    "b1, b2 = regression.linear_model.OLS(df.R, df[[\"SMB\", \"HML\"]]).fit().params"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "5bee5d94",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'Sensitivities of active returns to factors:\\nSMB: 0.08777022702057138\\nHML: -0.026467598838652594'"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display(f\"Sensitivities of active returns to factors:\\nSMB: {b1}\\nHML: {b2}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2637022e",
   "metadata": {},
   "source": [
    "Perform rolling regression to estimate the time-varying sensitivities"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "46f677d8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 550x660 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "exog = sm.add_constant(df[[\"SMB\", \"HML\"]])\n",
    "rols = RollingOLS(active, exog, window=12)\n",
    "rres = rols.fit()\n",
    "fig = rres.plot_recursive_coefficient(variables=[\"SMB\", \"HML\"], figsize=(5.5, 6.6))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "17619987",
   "metadata": {},
   "source": [
    "Estimate the marginal contributions to active risk (MCAR)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "a3184e61",
   "metadata": {},
   "outputs": [],
   "source": [
    "F1 = df.SMB\n",
    "F2 = df.HML\n",
    "cov = np.cov(F1, F2)\n",
    "ar_squared = (active.std()) ** 2\n",
    "mcar1 = (b1 * (b2 * cov[0, 1] + b1 * cov[0, 0])) / ar_squared\n",
    "mcar2 = (b2 * (b1 * cov[0, 1] + b2 * cov[1, 1])) / ar_squared"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "09d3ba36",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'SMB risk contribution: 0.0013761656143921365'"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "'HML risk contribution: 0.00030080111715510637'"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "'Unexplained risk contribution: 0.9983230332684527'"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display(f\"SMB risk contribution: {mcar1}\")\n",
    "display(f\"HML risk contribution: {mcar2}\")\n",
    "display(f\"Unexplained risk contribution: {1 - (mcar1 + mcar2)}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b0db48cb",
   "metadata": {},
   "source": [
    "Calculate the rolling covariances and active risk squared"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "bcd74815",
   "metadata": {},
   "outputs": [],
   "source": [
    "covariances = (df[[\"SMB\", \"HML\"]].rolling(window=12).cov()).dropna()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "085f739c",
   "metadata": {},
   "outputs": [],
   "source": [
    "active_risk_squared = (active.rolling(window=12).std() ** 2).dropna()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8c33fc3b",
   "metadata": {},
   "source": [
    "Calculate the rolling betas"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "5a4776bc",
   "metadata": {},
   "outputs": [],
   "source": [
    "betas = pd.concat([rres.params.SMB, rres.params.HML], axis=1).dropna()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d725d267",
   "metadata": {},
   "source": [
    "Create a DataFrame to store the MCAR estimates"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "ae225377",
   "metadata": {},
   "outputs": [],
   "source": [
    "MCAR = pd.DataFrame(index=betas.index, columns=betas.columns)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "838e34ef",
   "metadata": {},
   "source": [
    "Calculate the MCAR for each factor at each time point"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "528ff4bc",
   "metadata": {},
   "outputs": [],
   "source": [
    "for factor in betas.columns:\n",
    "    for t in betas.index:\n",
    "        # Compute the sum of the betas and covariances\n",
    "        s = np.sum(betas.loc[t] * covariances.loc[t][factor])\n",
    "        # Get the beta\n",
    "        b = betas.loc[t][factor]\n",
    "        # Get active risk squared\n",
    "        AR = active_risk_squared.loc[t]\n",
    "        # Put them all together to estimate FMCAR on that date\n",
    "        MCAR[factor][t] = b * s / AR"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7548de81",
   "metadata": {},
   "source": [
    "Plot the MCAR estimates for each factor"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "ce15f485",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='date'>"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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aMjIyWLp0KaDmm0ybNo1hw4bR0tLCRx99xEsvvcTTTz8NqA3S7rzzTv74xz8yYsQIhgwZwr333kt6ejoXX3yx556pEH6kpc3K/fZE2+tPyQ7q3TMd+wkpihK0gZkQwrtcDljmz59PeXk59913HyUlJUyePJmVK1c6kmbz8/MxGtsnbhoaGrjtttsoLCwkIiKC0aNH8/LLLzN//nzHOb/+9a9paGjg5ptvprq6mtNOO42VK1cSHh7ugacohP959suDHK5sJDkmjDtzRug9HK/KSIjAYIBGi5XKBgtJ0bKcK4Rwnct1WPyR1GERgaTgWCNn/3UNza02nlwwmYsmB2fuSkezluZRXNPMO7edwpRBCXoPRwjhJ7xWh0UI0Xd/+GAnza02Zg0dwI8mpes9HJ+QJohCiL6SgEUIH/p8dymrdpYSYjTwh4uCN9H2eJlSi0UI0UcSsAjhI82tVh54fycAN5w2hBEpMTqPyHcGydZmIUQfScAihI88s+YA+ccaSY0N5+dnBXei7fGkeJwQoq8kYBHCB/IrG/nH6gMA3HvBWKLCXN6gF9CkFosQoq8kYBHCyxRF4YH/7cDSZuO04UmcN6H7qtDBSlsSOlrdRJvVpvNohBCBSAIWIbzss11lfL67jFCTgQf7UaJtR8kxYZhDjFhtCsU1zXoPRwgRgCRgEcLL/vWluhR04+yhDBsYrfNo9GE0GsiMb694K4QQrpKARQgvK69T+2adNTpZ55HoK9O+LFQoeSxCCDdIwCKEl9W3tAH0u0Tb4w2y12LJl63NQgg3SMAihJdpAUt0Pw9YZGuzEKIvJGARwovarDaaW9VdMf0+YJHicb078DlU7Nd7FEL4JQlYhPCiBovVcSxLQmrAki85LF0r2gIvXQKvX6n3SITwSxKwCOFF2nKQ2WTEHNK//7tpS0IV9S00dQjkhN2hL9WvFXuhplDfsQjhh/r3O6gQXtag5a+E9+/ZFYC4yFBi7K9DoeSxnKhgfftx/jr9xiGEn5KARQgvat8hZNJ5JP5BEm+7oShQsKH9z/lr9RuL8Jn9ZfXUNLbqPYyAIQGLEF5U32wPWMwywwId8lgqJWDppOowNJS1/1lmWIJewbFGzvnrGm544Tu9hxIwJGARwou0JaEYWRICICtRq3YribedaMtBCUPUr6U7oKlat+EI79tZXItNgR1FtSiKovdwAoIELEJ4kRSN60y2NndDC1hGnw+JQ4HjlohE0CmuVoP2plYr1bIs5BQJWITwIglYOtNyWKTa7XG04CRrJgw6RT2WPJagVlzb3gS0qEZmHJ0hAYsQXuTYJSQ5LED7DEthVZNMg2uaa9UlIICsGTDoZPVYApagVlzd3OWx6J4ELEJ4UX2LWm9EtjWrMhPUHJb6ljaZBtcc/R5QIH4wxKTCoFn272+EVvlFFqyKO8yqyAyLcyRgEcKL6lvUX8qyJKQKDzWRHBMGyNZmh3x7/krWTPXrgGEQNRCsFijeotuwhHcVdZhVKZIZFqdIwCKEFzVoMyxSh8WhvUS/BCxAe8Jt1gz1q8HQvix05Ft9xiS8ympTKO2Yw1ItMyzOkIBFCC9q79QcqvNI/Ef7TiF5k8ZmhcLv1WMtSIEOibdSjyUYVdS30GZrz+EqliUhp0jAIoQXOQrHyQyLQ1aCVotFZlgo2wWWOjBHQ/LY9u9rwUvBOrDZ9Bmb8Jrims5LQLIk5BwJWITwogaLNsMiOSyaTKnF0k5bDsqcBsYOQW3qRAiNguYaKN+lz9iE12g1WNLjwgEoqW3GapNdc72RgEUIL2pfEpKARTNIApZ2HeuvdGQKgazp6rFsbw46RfYZlklZ8YQYDVhtCuV1LTqPyv9JwCKEF7UvCUnAotFyWI5WN8mnygJ7joqWcNuRtr35iAQswUabYcmIjyAlVp1lka3NvZOARQgvapAZlhOkxoYTajLQau28U6LfqStVmx5igMzpJ/7cUUBOEm+DjZbDkhYfQXq8PWCRnUK9koBFCC+x2RQaLFI47ngmo4GMeDXxtl9vbS60Lwclj4XwuBN/njkdDCaoLYTqAt+OTXiVNpuSHhdOWpz6f0Gq3fZOAhYhvERLuAWZYTmeNEHkxPorxzNHQdok9VjyWIJKiX2GJTUunHR78H5UZlh6JQGLEF6iFY0zGQ2Ehch/tY4y7U0QC6r68Zt0dwm3HQ2WRojBps1qcyyFpndYEpJaLL2Td1EhvKTjDiGDwaDzaPxLVqK9Fkt/nWFpa4GizepxdzMsIHksQaisrgWbAiFGA0nRYe1LQjWyJNQbCViE8BJJuO1ev9/aXLRF7RUUmQSJQ7s/L8sesJTthMZjPhma8C5tJiUlNhyT0SBJty6QgEUIL9FmWKTK7YmyHEtC/TRg0fJXBp2s9g7qTvRAGDDCfp8N3h+X8Dqtqq0WqKTbZ1gq6i20tFl1G1cgcCtgWb58OdnZ2YSHhzNz5kw2bOj+P9Kzzz7L7NmzSUhIICEhgZycnBPOv/766zEYDJ1u8+bNc2doQvgNKRrXPS3ptrS2hebWfvgm3VvCbUeOZSFphBgMtBkWbSkoPjKU8FD1V3GJLAv1yOWAZcWKFSxevJj777+fTZs2MWnSJHJzcykrK+vy/NWrV3PllVfyxRdfsHbtWrKysjjnnHM4evRop/PmzZtHcXGx4/baa6+594yE8BMNLVI0rjsJkaGOQK6wvyXeKopzCbcarYCc5LEEBW2GJc0+w2IwGGSnkJNcDlgef/xxbrrpJhYuXMjYsWN55plniIyM5Lnnnuvy/FdeeYXbbruNyZMnM3r0aP79739js9nIy8vrdF5YWBipqamOW0JCgnvPSAg/ITMs3TMYDGT21yaIVYehoQyMoZA2uffzB9sDlqOboFV+oQU6bRYlzV7hFtqXhaQWS89cClgsFgsbN24kJyen/QJGIzk5Oaxd69y2u8bGRlpbW0lMTOz0/dWrV5OcnMyoUaO49dZbqays7PYaLS0t1NbWdroJ4W/qZYalR9qyUGF/S7zVZlfSJ0NoeI+nApAwBKJTwNaqBi0ioDmWhOyzKoAk3jrJpYCloqICq9VKSkpKp++npKRQUlLi1DV+85vfkJ6e3inomTdvHi+++CJ5eXk88sgjrFmzhnPPPRerteu17aVLlxIXF+e4ZWVlufI0hPAJ2SXUMy3xtt9Vu3X0D3JiOQjUpFzHspDUYwl0WuNDbVYF2vNZiiSHpUc+fSd9+OGHef3111m9ejXh4e2fLBYsWOA4njBhAhMnTmTYsGGsXr2as84664TrLFmyhMWLFzv+XFtbK0GL8Dta40MJWLo2yFGLpZ99qnQlf0UzaBbsfFfyWAKcpc1GRb3alVnLYQGkeJyTXJphSUpKwmQyUVpa2un7paWlpKam9njfZcuW8fDDD/Ppp58yceLEHs8dOnQoSUlJ7N+/v8ufh4WFERsb2+nmV2w2eO92eO0q2J+nJtmJfqfeXulWloS65ijP359yWJproXSHeuzMDiGNtlOoYD3Y+uGuqiBRWtuMooA5xMiAKLPj+1rSrSwJ9cylgMVsNjN16tROCbNaAu2sWbO6vd+jjz7KQw89xMqVK5k2bVqvj1NYWEhlZSVpaWmuDM9/lO+GzS/Dng/h5UvhH7Ng00tqdUvRbziWhKTxYZe0gKVfLQkd/R5QIH4wxPT8Ia+TlPFgjoGWWrWInAhIWkCSFhfeqfq1NEB0jsu7hBYvXsyzzz7LCy+8wK5du7j11ltpaGhg4cKFAFx77bUsWbLEcf4jjzzCvffey3PPPUd2djYlJSWUlJRQX18PQH19PXfffTfr1q3j8OHD5OXlcdFFFzF8+HByc3M99DR9THtDiUgEczSU74L3F8Ffx8OaR6GhQt/xCZ9o3yUkheO6ouWw1DW3UdPYqvNofKRwo/rVldkVAFMIZE1Xj49IHkugKrH3EEqN7ZxsrS0J1bW0UdvcT/4vuMHlgGX+/PksW7aM++67j8mTJ7NlyxZWrlzpSMTNz8+nuLjYcf7TTz+NxWLhsssuIy0tzXFbtmwZACaTiW3btvGjH/2IkSNHcsMNNzB16lS++uorwsLCPPQ0fax8t/p1zAVw1w44+yGIzVC3Mn7xJ/jrOPjfL6B8r77jFF7l2CVklhmWrkSYTSRFq//H+82y0LGD6teBo12/ryTeBrz2KrcRnb4faQ4hPjIUkFmWnrj1Trpo0SIWLVrU5c9Wr17d6c+HDx/u8VoRERF88skn7gzDf5XtUr8OHAMR8XDqz+HkW2Hne/Dt36B4C2x8Xr2NyIVZt8OQ03su0S0CjiwJ9S4rMYKK+hYKjjUyPiNO7+F4X9Vh9WtCtuv37RiwKIq8XwSg9iq3J25nT4uLoLqxlaKaJkalxvh6aAFBegl5gzbDktzhU5QpFCZcBjevhoUfw6jzAQPs+wRe/BE8Mxu2vAZtFj1GLLxACsf1rt9tba4+on51J2DJmArGEKgrbr+OCCjtVW4jTvhZhtRi6ZUELJ7W2tw+7Zs89sSfGwww+BS48lW4YyNMvwlCI6H0B3j3FnhiAnz1F+nMGgSkcFzvBvWnnUJtLVBbpB7HD3b9/ubI9sq4sr05IGkzLOndzLCALAn1RAIWT6vYC4oNwuPV6pQ9GTAMzl+m5rmcdT/EpEF9CeT9Qc1z+fCXUHnAJ8MWnqUoimNJKEYClm5l9adaLNUFgKJ+QIlKcu8agyWPJZAVa2X5406cYdHqshRJLZZuScDiaY7loDHOrzFHJsLsxfCLbXDJPyFlArQ2wnf/hr9NhdeuhMNfSz2XANLUasVm/+uSGZbuaUtCBf1hSaj6sPo1Idv9/BMtj0V2CgWc5lYrxxrUJf+uclgypBZLryRg8TRHwq0buwBCzDBpAdzyFVz7vpqQiwJ7PoLnz4d/nQHb3gSrbHvzd9pykMEAkWbZ1twdRz+hqiZstiAPyKvseSfuLAdpsuwF5Cr2QEP3/daE/9GaHoaHGh07gjpyLAlJef5uScDiaVrA0lX+irMMBhg6B65+A27/DqYuhJBwdXfR2zfCS5dItUs/12CvchttDulUIEp0lhYXjslowGK1UVYX5IUVHQm3fQhYogZA0ij1uGB938ckfKbIkb8S0eV7Qnt5/ubgD97dJAGLp5VrAYsbMyxdGTgSLnxCzXOZew+ERsHhr2Dd0565vvAKrY+QLAf1LMRkdLxRB33irbaluS8zLNBepj//275dR/hUsWOHUNcdulNiwzEY1H5DlQ2yW7QrErB4kqWxfdp34BjPXjsqCeb8GnL/pP7584ckIdePte8QkuWg3ji2NlcGe8DShy3NHQ0+Rf0qO4UCSnsNlhMTbgFCTUaSY8I6nSs6k4DFkyr2AApEDoDogd55jKnXw5A50NYM79+hNloUPlHf0obiZOJze9G4E9eqRWf9ZmuzJ5aEoH2GpWiz+iFJBIQie25KV1uaNdIEsWcSsHiSJ/JXemMwwI+eUpeGjnyj7iQSXrfxSBWTHvyUv65yrp1Cg0X6CDnL0bU5mLc2N9dAU5V63NclofjBagkEWxsc3dj3sQmf0JJuU7uZYQE1vwXaC8yJziRg8aS+7BByRUI25DygHn/2QPvauPCa7UdrsNoUvjtc5dT5dc3SR8hZmQlaLZYgni3QloMiB0BYdN+uZTB0KNMvy0KBwtGpuZscFmjf7ixLQl2TgMWTuirJ7y3Tb4TBp0Jrg7o0JDVavKrRou76qWp0LhlO+gg5L6s/LAn1pSR/VxwBiyTeBopix5JQDzMs8TLD0hMJWDypzB6weDrhtitGI/zobxASAYe+VBspCq9psi/xOJu93yB9hJym5bCU1DbT0hak2/U9UYOlI63ibcEGsLZ55prCaxotbdQ0qfWzepphSZdqtz2SgMVTWuqgJl89TvZBwAJqaf+z7lWPP73XXvpbeINjhqXB4lTibZ30EXLagCgzEaEmFCWIP1k6ujR7KGBJHgthsWCph7Idnrmm8Brt33V0WAixPSTiazMs0k+oaxKweEr5HvVrdIpaat9XZt4CmTPAUgf/+4UsDXlJY6sasLTZFGqbe/9EKzMszjMYDI6eQkHbtdnTS0JGE2TNUI+lTL/fa9/S3P3sivpz9f9BaV0zrVbZAXo8CVg8xVcJt8czmuCi5WAKgwN5sOVV3z5+P9FkaV+qOObEspCj0q0ELE5xbG0O1oDF00tC0CGPRQIWf1fs2CHUc8AyIMqM2WREUaC0VmZZjicBi6d0bHroawNHwtwl6vEnS6C22PdjCHKNlvZZFWcCFlkSck1mQhAn3iqK52qwdNQxYJGZVb+mLfH0lHALYDQa2rs2y7LQCSRg8ZSynepXPQIWgFl3QPoUtd7DB3fJG5iHNbo8wyJ1WFyRFcwzLPWlaqFHgxHisjx33YyTwBiqXr/qkOeuKzzOsSTUQ8KtRrY2d08CFk/x5Q6hrphC4KJ/qG9gez+GH97SZxxBquOSUJVLAYtUunVGlqMWSxC+SWvLQbGZYPLgv4fQCDVoAanH4ueKnNjSrJGtzd2TgMUTmqqhrkg9HjhKv3GkjFX7DQF8fDfUl+k3liDTcYbFma3NjsJxMsPilEEDgnhJyBvLQRqtTP8Rqcfiz4qdKBqnaa92G4TBex9JwOIJ2g6hmHSIiNd1KJx2F6ROUMuAf/hLfccSRJpaO8ywOFE8rr00v+SwOENrgFjd2Eptc6vOo/EwT3Vp7opUvA0IWtJtd40PO9KCGlkSOpEELJ7gyF/x8Q6hrphC7UtDIbDrfdjxjt4jCgodk24r63sOWBRFkUq3LooKCyExygwEYR5LlRdnWLJmql8r90FDheevL/qsrrnV0b29t23NIEtCPZGAxRMcO4S82PTQFWkT1ZkWgA9/BQ2V+o4nCHRcEupthqWlzUarVU16ll1CzgvaJoiersHSUWRie96cbG/2S9rsSmx4iFPvB44lIZlhOYEELJ6gVw2Wnpx+t/pG1lgBH/9a79EEvCYXcli02RWQ5oeu0BJvC4Mtj8UbNVg6GizLQv5My0XRZk56oy0JVTe2dprZFRKweIaeNVi6ExIGFy9Xt1Jufwt2f6j3iAKWpc1Gm619m/ixhpYez9eKxkWaTZiMBq+OLZhoMyxBVe3W2gq1heqxN5aEoD2PRRJv/VJ7/krvy0EAseGhxNhnYmRZqDMJWPqq8ZhaBwH03SHUlYypcMrP1eMP7lLHKlzWcXYFoKqh56TQuhb157Ic5Bot8TaoclhqCkCxQUi42rbDG7SdQsVbwdLgnccQbmvfIeTcDIt6riTedkUClr7SloPiBkFYjL5j6coZS2DACDWo+uQevUcTkBpbO0/L1re09dhVWMryu8dRnr8qiN6kOy4HGbw02xY/SK3xolih8HvvPIZwW3sNFudmWECaIHZHApa+KrcHLP6wQ6groeFqryEMsPVV2LdK7xEFHC3hNiYsxLHE09MsizQ+dI/WALHgWKNTHbEDgqe7NHdHm2WRxFu/U+LoI+TCDIv93KNSi6UTCVj6ylHh1k8DFoBBM+Hk29Tj93+ulu8XTtOWhCLDTCREqltvK3vIY2nvIyRF41yRHh+B0aDusiqv6zlPKGBUeznhViMBi9/Sdvu4NMMi5fm7JAFLX/ljwm1Xzvw9JA5VK/J+eq/eowko2gxLpDmEAfZaITLD4nmhJqPjk2XQVLyt8uKW5o4Gn6J+LfgOrLKzxF8oiuJY1nElh8WxJFQjS0IdScDSV3o3PXSWORJ+9Hf1eNMLcOALfccTQLSthRGhJhKi1F4wPc2wSMDivvZloSD5ZOnNsvwdDRwD4XHQ2gAl27z7WMJpNU2tjirZzu4SgvakW1kS6kwClr6oL4fGSsAASX62Q6gr2afC9JvU4/d/Di11+o4nQDiWhMwmBkSFAT03QKx3LAlJwOIqbadQ0Gxt9mZZ/o6MRsjSloWkHou/0LYlJ0aZCQ91folYKx5XXN0cPPlcHiABS19oCbcJg9UZjECQ84C6q6AmHz57QO/RBARtSSjCbHKUjz/WU8DSLDMs7mqvdhsEAUtLvf0DDd6fYQHJY/FDWg6KK7MrAKn285tarVQ3BllvrT6QgKUvHAm3fr4c1FFYNPzob+rxd/+Gw1/rO54A0NjaPsOSEKUl3XYfsEjjQ/e1b20OgoBFWw6KSFCXa7zN0QhxLcincr/gStPDjsJDTWTY81i+2FPm8XEFKglY+iJQ8leON/QMmHq9evzeIrAEwS8HL2qyByCdkm576CdUb6/DIktCrguqHBZfLQdpMk4CUxg0lMOxg755TNGjHwrVHZmZCa4FLABXnzwIgH+sPoDNJgEoSMDSN4GyQ6grZ/8BYjOg6hB8/pDeo/FrHZeEHDMsPXRsrm9Wp3BlhsV1Wg5LcU0TrVabzqPpI292ae5KSJgatICU6fcDNU2tvL+1CIB541Ndvv9PTh5MTHgI+8vq+WRHiaeHF5DcCliWL19OdnY24eHhzJw5kw0bNnR77rPPPsvs2bNJSEggISGBnJycE85XFIX77ruPtLQ0IiIiyMnJYd++fe4MzXcUxT+bHjorPA4ufEo9Xve0JOr1wJF0G2pyaoalQWZY3DYwJoywECM2pb1pXMDyZpfm7gySxFt/8dbGQpparYxKiWHmkESX7x8THsr1p2QDsHz1fkm+xY2AZcWKFSxevJj777+fTZs2MWnSJHJzcykr63qdbfXq1Vx55ZV88cUXrF27lqysLM455xyOHj3qOOfRRx/lqaee4plnnmH9+vVERUWRm5tLc7Mf70GvL4XmarW5YNJIvUfjnhE5MPlqQIH3bofWAP8F4SWNHXYJaYXjeky61bY1h0vA4iqDwdAh8TbA/z16u0tzVwbZ67FI4q2ubDaFl9YeBuAnswZjcLMtw8JThxARamL70VrW7C334AgDk8sBy+OPP85NN93EwoULGTt2LM888wyRkZE899xzXZ7/yiuvcNtttzF58mRGjx7Nv//9b2w2G3l5eYA6u/LEE0/w+9//nosuuoiJEyfy4osvUlRUxLvvvtunJ+dVWv5K4lC1/H2gyv0TRKdC5X5Y84jeo/FL7UtCIQyI1mZYWrtdV3YELFLp1i1Z9vX+gN/a7Kuy/B1lzQAMcOwA1JX67nFFJ1/tr+BwZSMxYSFcMiXD7eskRpm5eqaay7L8i/2eGl7AcilgsVgsbNy4kZycnPYLGI3k5OSwdq1zEX1jYyOtra0kJqpTZIcOHaKkpKTTNePi4pg5c2a312xpaaG2trbTzee0T08Dhvv+sT0pIgEueFw9Xrscjh3Sdzx+qKlVS7o1ER+pFo6z2hRqm7vebtggdVj6JCsYdgopSoey/Nm+e9yIeEgZpx4XyLKQXl789jAAP56a2ef3gZtOH4rZZOS7w1WsP1jpgdEFLpcCloqKCqxWKykpndukp6SkUFLiXFLQb37zG9LT0x0BinY/V665dOlS4uLiHLesrCxXnoZnWOrVr77Yruhto86DoXPBaoG8B/Uejd/pmHQbFmIixv4G1N2yUL1Uuu2TQcFQi6WhAlobAQPE+/j9SfJYdFVwrJHP7VuRfzKr77NrKbHhXD4tE4C/9/NZFp/uEnr44Yd5/fXXeeeddwgPd38ZZcmSJdTU1DhuBQUFHhylkywN6ldzlO8f29MMBjjnj4ABdrwDBd0nUfdHHXNYAMdOoa4CllarjZY2dXeLBCzuyUzQZlgCOIdFWw6KTVd37/iSVo9Fdgrp4uV1R1AUmD0iiWEDoz1yzVvmDMNkNPDVvgq2FlR75JqByKWAJSkpCZPJRGlp57XR0tJSUlN73ra1bNkyHn74YT799FMmTpzo+L52P1euGRYWRmxsbKebz2ll7YMhYAFIHQ9TrlGPP/mdFJ7qoOm4gKWnarfachDIkpC72muxBPAMi6+6NHdFC1hKtkn7DR9rbrWy4nv1A/S1s7I9dt2sxEgumpQO9O9cFpcCFrPZzNSpUx0Js4AjgXbWrFnd3u/RRx/loYceYuXKlUybNq3Tz4YMGUJqamqna9bW1rJ+/foer6k7xwxLjL7j8KS590BoJBR+p860CKBj80M1ABnQQ8CiLQeFhRgJNUmZI3doOSzHGiydAsCAokfCrSYuA+IGgWJT/y8Ln3l/axHVja1kxEdw5uhkj177trnDMBjg052l7C3tn4Goy++oixcv5tlnn+WFF15g165d3HrrrTQ0NLBw4UIArr32WpYsWeI4/5FHHuHee+/lueeeIzs7m5KSEkpKSqivV3NADAYDd955J3/84x95//33+eGHH7j22mtJT0/n4osv9syz9IZgWhLSxKbBqb9Qjz97ANq670jcnxw/w9JTeX7JX+m72PBQR3JzwCbe6lGDpSPJY/E5RVF40b6V+ZqTB2MyureVuTvDk2OYN05ddfhHP51lcTlgmT9/PsuWLeO+++5j8uTJbNmyhZUrVzqSZvPz8ykuLnac//TTT2OxWLjssstIS0tz3JYtW+Y459e//jV33HEHN998M9OnT6e+vp6VK1f2Kc/F64IxYAE45Q6ISVPfcNf/U+/R+IWOvYSgfYalq47NskPIMxxdmysDNGDxdVn+4w3u0FdI+MTmgmq2H63FHGJk/nTvJFrfPlfdlfr+1iKOVDZ45TH8mVvvqosWLWLRokVd/mz16tWd/nz48OFer2cwGPjDH/7AH/7wB3eGow9tl5DZM0lVfsMcBWf+Xi0k9+UyNa8l0vUqjcGk4y4h6DnpVusjJDMsfZOVGMEPR2sCN/HW12X5j6flsRR+D9ZWMIXqM45+RNvK/KNJ6Y48N08bnxHHGaMGsnpPOc+sOcDSSyf2fqcgIovs7nIELEE2wwIw6UpImQAtNf2+mJzVpmCx7/qJNKtBiCPptovy/PXNsiTkCVmBvLXZ2gY1heqxXktCSaMgPF7dWl28TZ8x9CPldS189INahuNaD2xl7ski+yzLWxsLKa4J0IDeTRKwuEtbEgoLshkWAKMJcv+oHn/3b6jon+ul0J5wCx12CfVQnr99SUiq3PaFtiRUGIg5LLWFoFjVzsnRrje98wijsX2WRZaFvG7Fd/lYrDYmZ8UzMTPeq481LTuRGUMSabUq/OvL/tWVWwIWdwVrDotm6Bkw4hywtcFn9+s9Gt1oCbcGg7rzByAxuvddQtHhMgXfF9oMS0CW53f0EMpSAwe9OBJvJWDxpjarjVfW5wPen13RaLMsr23Ip7K+/2yOkIDFXcGaw9LR2Q+BwQS7P4DDX+s9Gl00dujUrDUwc2aGRfoI9Y3WT6jgWFPgdanVswZLR4M7NEIMtNcwgHy2q5TimmYGRJk5b0KaTx5z9ogkJmbG0dxq47lv+k87FQlY3BXsMywAyaNh6nXq8Sf3gM2m73h00LHxoUabYWm0WGm27yDSaDMsUWbJYemLjIQIDAZoarV2uX3cr1XpvKVZkzYJQsKhsRIq9uk7liD2wrfq3/eCGVmEh/rmg4rBYHDsGHrx2yPUNHXd1yzYSMDijjaL2ncHgjtgATjjd2pxvOItsP0tvUfjcx0bH2piwkIINamzLcfPsrQvCUnA0hdhISZSY9WyBgG3LKRn0biOQsIgY6p6LMtCXrGruJa1BysxGQ1cPdO3f99nj0lhZEo0dS1tvGSv/xLsJGBxh7YcBMG9JAQQPRBm36Uef/YgtPavrPTj+wiB+ukmoZtloQYpHOcxWuJtwO0UqrJP0eu9JAQdEm+lgJw3PPe1+nd97vhU0uMjfPrYRmP7LMv/fX2o0waBYCUBizu05SBTWP+ob3DybRCXpe5+WPcPvUfjU8fXYNF010+oXgrHeYyWeFsYSLVYWuqheKt6nOYHNTIcAYs0QvS0ivoW3ttSBMBPTxuiyxjOn5DGoMRIqhpbedWe+BvMJGBxR3/IX+koNALOuk89/uqvUF+u73h86Piy/BoJWLwvIJsg5q9Vd9bFDYIEfX6JdZI1HTCoy1S1xb2dLVzwyrr2rcwnDUrQZQwhJiO3njEMgGe/OkhLm7WXewQ2CVjc4QhYgnw5qKPxl0H6FLDUweo/6z0an2lfEuocgHQXsDTYK93GSMDSZ47y/IEUsBxcrX4dOkfdC6+38Di1EztAgSwLeUpLm5WX1qnJtnrNrmguPSmD1NhwSmtb+O/Go7qOxdskYHGHxd4ps7/MsIBaT+KcP6nHG5+Hst26DsdXtHVhmWHxPUe120AqHndojfp16Bm6DqMTbVnoiCTeesoHW4upqG8hNTacc8frVBzQLizExM2nDwXgmTUHaLMG725OCVjcEcxVbnuSfSqMvkBtW7/qXr1H4xO9Lgk1dhewSB2WvhpkD1iKqpsD4024oRJKflCPh5yu71g6yp6tft38MpTv0XcsQUBRFEftk2tPGUyoSf9fo1fOGMSAKDP5xxr537YivYfjNfq/0oGov+WwdJTzIBhDYN+ncOALvUfjdVqn5ojQbpaE6rveJRQT1g+Ssb0sOSYMc4gRq02huKZZ7+H0TptdSR4L0cn6jqWjUeepQUtrA6z4iZoYLNy24dAxdhTVEh5q5Mrpg/QeDqBuCtCWpv7xxQFstuAsFCgBizv6Q5Xb7iQNh+k3qsef3gu24E7ycmWGxWpTHDkvMsPSd0ajgcz4AEq81QKWIXP0HcfxTCFw2XNqX6OKPfC/X0jl2z7QZlcuPSnT0bndH/xk1mBiwkPYV1bPpztL9B6OV0jA4o7+PMMCMOc3ajJf6Q+w9TW9R+NVWg7LCduau6jD0tChDoLksHhGQOWxHNTyV/wsYAF1xufy/6itNra/pTY1FS7Lr2zk052lACw8JVvfwRwnNjyU62ZlA7D8iwOB19LCCRKwuEObUu2vAUtkIpx+t3qc91B7ABeEuiocB103QNSWg0JNBkejRNE37Vub/bwWS3W+WjDOYILBp+o9mq4NPgXOflA9XrkECjfqO54A9MLawygKnD5yICNSYvQezgl+etoQIkJN/HC0hi/3Veg9HI+Td1V39OclIc2Mm9VKnvUl8O3f9B6N1/S2JFTdaMFqXy+ub27fIWTwhy2tQSBgtjZrsysZJ0F4rL5j6cmsRWrivK0V3rwOGo/pPaKAUdfcyorvCgD46anZ+g6mG4lRZq6aqebVLP98v86j8TwJWNzRH+uwHC8kDHIeUI+/eTJoi1J11fwQcJTmtyk4Go9J40PPC5glIX/NXzmewQAX/wMSh0JNAbx9U79sauqON78vpL6ljWEDozh9xEC9h9Otm08fitlkZMPhY2w4FFwBqQQs7ujvOSyacZdA5gxobYQv/qj3aLxC2yUUeVwX1lCTkVh7g0NtWchRNE4aH3qMtrXZr5eEFAUOfake+2P+yvHC4+CKF9VOzvs/g6+W6T0iv2e1KTz/7WFAXXYxGv13BjUlNpzLpmUC8PcvgmuWRQIWd0jAojIYINdeTG7zK1CyXd/xeEFTN4Xj4MTicfUt6kyLJNx6jrYkVFHf4r/N3cp3Q32pGgBkztB7NM5JnQDnP64ef/FnOPC5vuPxc3m7Ssk/1khcRCiXTsnUezi9uuX0YZiMBr7cW862wmq9h+MxErC4w1Hpth8vCWmyZqgzLSjw6e+Dbrtkd80PoauARdvSLAGLp8RFhjpmrPy2CaKWvzLoZAgN13csrphyNZx0LaDAf2+EmuAu694X2lbmq2YO6vK9wN8MGhDJjyalA7A8iGZZJGBxR3+tdNudnAfAZIaDX6hTzEGkqZteQnBiwNJeNE4CFk/SZln8thZLoOSvdOXcR9XZlsZKePN6aLP0epf+ZkdRDesOHsNkNHDtrMF6D8dpt9mbIn6yo5R9pXU6j8YzJGBxhywJdZaQre4aAnWWxeqnU/du6G5bM7QHLFWN2gyLlOX3hvY8Fj8MWKxtcPhr9dif+gc5KzQCrngJwuKgcAOsuk/vEfmd/3xzGIDzJqSRFheh72BcMCIlhnnj1D5H/1h9QOfReIYELO6QgOVEp/8KIhLU9fzNL+o9Go+w2RSaWrtfEtKqXFbWHx+wyAyLJw0eoAYshyr8sN5P8RZoqVUTWdMm6T0a9yQOgUueUY/XPw073tF3PH6kvK6F97eovXn8dStzT26fOxyA97cWkV/phwG/iyRgcYfUYTlRRALM+a16/MWfoblW3/F4QHNbe9uBrmZYBhw3wyJLQt4xLFn9f7a/3A974BxcrX7Nng3GAJ5ZG30enPoL9fi9RVCxT9/x+IlX1h/BYrUxZVA8UwYl6D0cl03IjGPOyIFYbQpPrwn8WRYJWNzR3yvddmfaTyFxGDSUwzdP6D2aPtOWgwDCQ7paEgoDoLJBZli8abgWsJT5ccASiMtBxzvzPhh8mvqBbMVPgrqCtTNa2qy8vO4IAD89dYjOo3GfNsvy342FlARCE9EeSMDiqjaLWiUSZIbleCFmOPsP6vHa5VBTqO94+khLuI0INXVZdyExSu3IfKyhBehc6VZ4jhawlNa2UNvcqvNoOmhtgoIN6nEgJtwez9EkMQXKd8EHdwXdrj9XvL+liIp6C2lx4cwbn6r3cNw2Y0giM7ITsVht/OvLg3oPp08kYHGVpcOnPJlhOdHo89VeKm3Nap+hANZTwi20z7BUNai/RLXmh1I4zrNiw0NJiVVfa7+aZclfB9YWiEmDpBF6j8YzYlLUoMVggm0rYON/9B6RLhRF4Tl7su21s7IJNQX2r8rbz1RnWV7bkE9lfYvOo3FfYP8t6EGbJjWFgSlU37H4I4MBzrFXvd32OhRt1nc8fdBdp2aN1rG5Upth0eqwSGl+jxuRrDaa21/qRwFLx+3MwdQ7Kvs0OMu+W+jj38DRTfqORwfrDh5jV3EtEaEmrpyRpfdw+uz0EUlMyIijqdXq2PUUiCRgcZXsEOpdxkkw4Qr1+JPALSbXXeNDjdaxubnVRpPFSn2zVLr1luH+mHirFYwLhHL8rjr1FzDqfLBa4I3+1yRRKxT346kZxNs/mAQyg8HgyGV5Ye1h/1padYEELK6SHULOOes+tVT5ka9hz0d6j8Yt3TU+1ESZTZjtU8WVDS2OXkLRErB4nBaw+E0BrKZqdUszBEf+yvG0JokJ2VCTD+/c0m+aJB6pbOCzXaUAXH9K4CbbHu+csSmMSI6mrrmNl9Ye0Xs4bpGAxVVawCJVbnsWnwUn36oef/OkvmNxU3eNDzUGg6G9eFxDq2Nbc7TksHic382wHP4aFBsMGA5xGXqPxjsi4tUmiaYw2PcJfP243iPyiee/PYyiwBmjBjr+3QUDo9HAbXPV6rf/9/Uh2qyBF4BKwOIqWRJy3sxbwRgCBeuhdKfeo3FZT40PNVrxuIqGFuotUunWW0bYf3EUVjU5lup0Fcjl+F2RNgnOt3dz/uJP7du4g1Rdcytvfq/ubgzkrczduXBiOtFhIRxrsHCgPPC2rUvA4ioJWJwXkwKjzlOPNz6v61Dc0VPjQ41WPO5oVZMjVUeWhDxvQHQYCZGhKAoc8IdZlmDOXzneSdfC5GvUGaW3boDaIr1H5DVvfF9IfUsbw5OjmT0iSe/heFyIycjYtFhA7ZEUaCRgcZXksLhm6vXq162vgyWwSkP3tq0Z2mdYtD43RoNat0V4njY9r3vAUlsMFXsAg1rhtj847zFIGQ+NFfDmQrAGZtJmT6w2hee/VZNtf3rqEAzBtPOrg7HpasCy/WjgVSOXgMVVUuXWNUPnqol7LTUB16Okp07NGm2GJd8esESFhQTtG53ehtu3Nu/Te2vzoS/Vr2mTIDJR37H4ijlSzWcJi4WCdfDZA3qPyONW7Syl4FgT8ZGhXDIlSPOSgHHp/WyGZfny5WRnZxMeHs7MmTPZsGFDt+fu2LGDH//4x2RnZ2MwGHjiiSdOOOeBBx7AYDB0uo0ePdqdoXmfLAm5xmiEk65TjwOsCJUzS0KJxwUsshzkPX5Tov9QP1oO6mjAMHXnEMDav8PO9/Qdj4dpW5mvmjGox//zgW5cehwAO4trUQKs5ITLAcuKFStYvHgx999/P5s2bWLSpEnk5uZSVlbW5fmNjY0MHTqUhx9+mNTU7ssbjxs3juLiYsft66+/dnVoviFLQq6bco2afFv4HZRs13s0TmtqtSfd9rDEkyABi89oibf7ynTc2qwo7fkrwZ5w25UxF8KsRerxu7dDZeA31APYfrSGDYeOEWI08JNZg/UejleNSInGbDJS19xGwbEmvYfjEpcDlscff5ybbrqJhQsXMnbsWJ555hkiIyN57rnnujx/+vTpPPbYYyxYsICwsLBurxsSEkJqaqrjlpTkpwlPjhkWCVicFp2sluyHgEq+dSXptk76CHmdNsNypLIRS5tOWzIrD0BtIZjMMGiWPmPQW84D6nO31NmbJAZWblpXtNmV8yakkRYXofNovCvUZGRUqrq8GmjLQi4FLBaLhY0bN5KTk9N+AaORnJwc1q5d26eB7Nu3j/T0dIYOHcrVV19Nfn5+t+e2tLRQW1vb6eYzsiTknqkL1a/bVgRMF9hGJ3JYEo6rgikzLN6TFhdOlNlEm03hSKVO/4YOrVa/Zs5Q8zr6I1MoXPYfiEqGsh3w4S8Dtpo1QFldM//bqu58+ulpwbeVuStaHsv2YA5YKioqsFqtpKSkdPp+SkoKJSUlbg9i5syZPP/886xcuZKnn36aQ4cOMXv2bOrqup76Xbp0KXFxcY5bVpYPez1IwOKeIXMgYQi01AZM8m1vpfkBBkRLwOIrBoNB/zyW/rSduSexaXDZ/4HBCFtfhU0v6j0it728Lp9Wq8LUwQlMzorXezg+0Z54G1g7hfxil9C5557L5ZdfzsSJE8nNzeWjjz6iurqaN954o8vzlyxZQk1NjeNWUFDgu8Fa7EGULAm5xmiEqfbk2+8DI/m2t+aHcOIMiywJeZdjp5AeAYvNBoe/Uo/7Y/7K8YacDmf+Xj3+6G4o2qLrcNzR3GrllXVqmfpgLBTXnbH2xNugDliSkpIwmUyUlpZ2+n5paWmPCbWuio+PZ+TIkezfv7/Ln4eFhREbG9vp5jPaDIuU5nfd5GvAGApHv4eSH/QeTa+cqsMS2bljd7RUufUqXWdYSrZBU5X6YSXjJN8/vj869S4YOQ+sLfDGterrE0De31pEZYOF9Lhwcsel9H6HIDEmLQajAcrrWiira9Z7OE5zKWAxm81MnTqVvLw8x/dsNht5eXnMmuW5BLT6+noOHDhAWlqax67pMbIk5L7ogTDmAvU4AGZZmlp7D1hCTEbiItqDFukj5F3tO4V0CFi07cyDT1XzOIQ6c3rJMxA/CKqPwDu3BkyTREVReO5rNdn2ulOyCTH5xYKDT0SaQxg6UP2/FEizLC7/DS1evJhnn32WF154gV27dnHrrbfS0NDAwoVqUuW1117LkiVLHOdbLBa2bNnCli1bsFgsHD16lC1btnSaPfnVr37FmjVrOHz4MN9++y2XXHIJJpOJK6+80gNP0cMkYOkbR/LtG36ffOvYJRTacxCi7RQCWRLyNm2G5WB5PVabjxM9JX+laxEJ9iaJZtj7MXwbGM1O1x6sZHdJHRGhJhZMH6T3cHzOkcdyNHASb10OWObPn8+yZcu47777mDx5Mlu2bGHlypWORNz8/HyKi4sd5xcVFTFlyhSmTJlCcXExy5YtY8qUKdx4442OcwoLC7nyyisZNWoUV1xxBQMGDGDdunUMHDjQA0/Rw6QOS99kz4bEoWou0Pb/6j2aHjmTdAvtxeNAkm69LSsxEnOIkZY2G4VVPtxO22aBfPtOSMlfOVH6FDj3UfU47w9w6Ct9x+MEbXblsqmZxEX2vxmzQEy8devdddGiRSxatKjLn61evbrTn7Ozs3utpvf666+7Mwx9SGn+vjEa1f5Cq+5Tl4VOulbvEXVJURRH0m1vAUuCBCw+YzIaGJoUxe6SOvaX1TN4gI/+HxZ+B62NEJkEyWN985iBZur1amf2ra/BWz+FW76CGM/lNnrSoYoG8narxU6vPzVb38HoZFwAJt72n0U7T2izgM3e9EtmWNw3+Wo1+bZoExRv1Xs0XWpps6GtOPRWpluWhHxrRIoOO4U6luM3yttmlwwGOP9xNaBrKLM3SWzTe1RdeuHbwygKzB01kGED++d7uTbDkn+skdrmwGhmKf/zXGHp8AYpMyzui0pSS3yD31a+1ZaDoOfCcSAzLL42fKAOO4X6czl+V5gj4YqXwBwD+d/C5w/pPaIT1DS18sb3aimM/lIorivxkWYy4tWqvjsDZJZFAhZXaEmipjDZJdBX07Tk2zfbl9n8SKN9h5A5xIjJ2HP35QESsPjUiBQf7xRqqVe34oMk3DojaThc9Df1eN3T0Opf/Wre/L6ARouVEcnRnDbcT1vA+Iij4m2AJN5KwOIK2SHkOdmzIXGYPfn2Lb1Hc4ImJ/NXoHPxOFkS8j5tp9CBsnrfdJs98i3Y2iB+MCRke//xgsHYiyE2Q63PcuRbvUfj0Ga18Z9vDgPq7IrB0POHkWDn6NwsMyxBSHYIeY7BoCbpgV/WZHEUjeuhU7MmMVpmWHwpe0AUJqOB+pY2Smp9UPTq4Gr1q8yuOM9ggGFz1eMDn+s7lg4+21XK0eomEiJDuWRKht7D0V2g7RSSgMUVWsAiVW49Y/LVau2G4i1QtFnv0XTiTKdmTWKnGRapdOtt5hAjgweojQd9ksdySPJX3DLsLPXrgS/0HUcHz319GICrZw4m3IkPI8FuXIYasOwvr6e51drL2fqTgMUVsiTkWVEDYMyP1GM/S75tcqJTs0ZrgGg0QJQT54u+c1S8LfVywFJfDqXb1WMJWFwz9AzAoHZ0ri3u7Wyv+6Gwhg2HjxFiNPCTWYP1Ho5fSI0NZ0CUGatNYU9J182G/YkELK6QgMXztOTbH96CFv/5D+PKDEtGfARXzRzEojNHYOwlQVd4hqOnULmXA5bDX6pfk8eprSWE8yIT1YJyAAf1n2V5ce1hAC6YmEZKbLi+g/ETBoOBsVribZH/J95KwOIKyWHxvMGnwoAR6mv7w5t6j8bB2aJxoP6n//MlE1h89khvD0vYjbB3bd7v7RkWKcffN8POVL/qnMfSZrWxapfatHfBjP5Xhr8ngVRATgIWV0iVW8/rmHzrR8tCzjQ+FPrx2QyL5K/0jSNg+ULXpojfH6miurGVhMhQpg1O0G0c/iiQEm8lYHGFY0lIZlg8avJV9uTbrXB0k96jAZxvfCj0MWxgNAYDHGuwUFnf4p0HqToCVYfBYILBp3jnMYJd5nT1/bKxAkp/0G0Yq3aqsytzRyf3q67MztAClt3FtbRZ/bvTtvzNucIiMyxeEZkIYy9Sjzf6xxbnRicbHwp9RJhNjiqdXtsppM2uZEyF8FjvPEawCzHDkNPVY52WhRRF4TP7ctA5Y1N0GYM/yx4QRZTZREubjQPlDXoPp0cSsLhCZli8Z6qWfPtfaNZ/atKVwnFCH46dQt4KWBz5K2d45/r9hbYstD9Pl4ffV1bPkcpGzCFGZo+QxOnjGY3tibc7/DzxVgIWV8guIe8ZfAokjYLWBr9IvnVll5DQhyOPxRsBi6LAIfsOIUm47RstYMlf1/4e6kPactCpwwZIJepuBErirQQsrpAlIe/plHz7H/UXho6aZEnI7zl2CnkjYCnbpXYcDolQ8zCE+xKHQvwgtdP94W98/vBawHL22FSfP3agkBmWYOSodBuj7ziC1aQFamPJkh90T75tsC8JRUghOL81zJszLFr+yuBZEBLm+ev3JwaDbtuby2qb2VJQDUDOmGSfPnYg6bhTyCf9udwkAYsrZEnIuyITYdzF6rHOybeu9BIS+tCWhEpqm6ltbvXsxQ/KdmaP0ilg+WxXGQCTsuJJlmJx3RqRHIPZZKSuuY2CY/7VXbsjCVhcIQGL92nJt9v/C836TU/KkpD/i4sIJTlGnf044MlZFmsbHP5aPZb8Fc8YMgcMRqjYAzWFPntY2R3kHHOIkZGp6gcAf14WkoDFFRKweN+gk+3Jt42w7Q3dhiFJt4FhRIoXdgoVbQJLHYTHQ+pEz123P4uIh4xp6rGPmiE2tLTx9f4KAM6WgKVX49L8P/FWAhZXaL1uZFuz9xgM7f2FNj6vW/Jte6VbyWHxZ8MHqv8XPTrD4lgOmg1GCVg9xrEs5JvtzV/tK8fSZmNQYqRjC7zonta5WWZYgoXUYfGNSQsgJFztknt0oy5DcKWXkNDP8BQ1Ad6jMyxSjt87tIDl4GqwWb3+cKt2qvkrZ49NwWCQpqS9CYQS/RKwOKvNom7LA1kS8raIBBh3iXr8vT7Jt7IkFBi0GRaP7RSyNELBevVYCsZ5VsZUCIuFpioo3uLVh2qz2vh8t7adWZaDnDEmLRaDAcrqWiira9Z7OF2SgMVZlg5viBKweJ9Wk2X7f6Gp2ucPL0m3gUHLYSmoaqS51QOf2gvWgdUCMekwYHjfryfamUJ8VqZ/45EqqhpbiZdmh06LNIcwNEn93eavsywSsDhLWw4yhYEpVN+x9AdZM2HgGGhr8nnyraXNRptNzZ2JlOaHfm1AlJn4yFAUBQ54onOzoxz/HDWfSnhWx+7NXqTtDjpzlDQ7dIVW8XanBCwBTqrc+paOybfa7ArIkpC/MxgMjoRKjywLSf6Kdw0/S/1asL59E4OHKYrSobqtLAe5YpyfV7yVgMVZ2gxLmCTc+szEK9Tk27IdUPidzx62sVVNuA0xGjCHyH8Rf+exnkJNVVC0RT2W+ivekZCtluq3tcGhr7zyEPvL6jlc2YjZZGT2SGl26Ap/7ykk78bOcsywSMDiMxEJMO5S9diHybeScBtYhnuqp9DhrwEFkkZCbHrfBya65uWqt6vsy0GnDB9AtDQ7dIk2w3KkstHz1aM9QAIWZ0nROH1oy0I73lY/AfuAJNwGFm2Gpc9bm6Ucv294O2CR5SC3JUSZyYiPAPwzj0UCFmdJwKKPzOmQPA7amn2WfOvoIyRF4wKClsNyuKKBVqvN/Qsd6pBwK7wnezYYTHDsAFQd9uily+o6NjuUgMUdY/24HosELM6SKrf6MBjatzh//x+fJN9qReMipPFhQEiLCyfKbKLNpnCkssG9i9QWQcVetd9N9mmeHaDoLDwWsmaoxx7eLfT5rjIUBSZlxpEizQ7d4s+JtxKwOEuq3Opn4hUQEgHlu9qLenmRLAkFFoPB0PfEW205KG2SmjslvGuYfbeQh5eFZDmo7/x5a7MELM6SJSH9RMTD+B+rxz5IvpWk28AzTMtjKXUzYJHtzL7lKNO/Ru2O7QGNlvZmhzkSsLhtvL2n0L6yes8UY/QgCVicJXVY9KUtC+14BxqPefWhGltlhiXQjNB2CrlTPE5ROheME96XPlntht1So3bH9oCv9lXQ0mYjKzGCUfYeU8J1qbHhJEaZsdoU9pR4p1aOuyRgcZYsCekrcxqkjAdrC2xb4dWHanI0PpSk20AxvC8zLJX7oa4ITGbIOtnDIxNdMpraezV5aFnIsRw0JlWaHfaBwWDw20aIErA4S2ZY9OXD5FtZEgo8WsByoLweq83FfxsHV6tfs2aCOdKzAxPd8+D2ZqtN4fPdanfmnLHJfb5efzfWTxNvJWBxluSw6G/iFRAaCRV7IH+t1x7GkXQru4QCRlZCBOYQIy1tNo5WNbl2Z8lf0YcWsBR+3+cGp5vyqzjWYCEuIpQZ2Yl9H1s/568Vb90KWJYvX052djbh4eHMnDmTDRs2dHvujh07+PGPf0x2djYGg4Ennniiz9fUhTbDEiZro7oJj4Px9sq3G5/32sM0yi6hgBNiMjo6ze4vd2Hd3WZtLxEv+Su+FZ+lVhVWrHC4b2X6teWgM0dLs0NPGG+fYdlVXEtbX2obeZjLf7MrVqxg8eLF3H///WzatIlJkyaRm5tLWVlZl+c3NjYydOhQHn74YVJTUz1yTV3IDIt/mPpT9euOd72WfNu+JCQ5LIHErTyWkm3QXA3mGEg/yTsDE93TZln257l9iY7NDqVYnGdkD4giymyipc3GwQo3axt5gcsBy+OPP85NN93EwoULGTt2LM888wyRkZE899xzXZ4/ffp0HnvsMRYsWEBYWJhHrtnS0kJtbW2nm9dJwOIfMk6C1Alq8u3qh72Sy9LUqiXdygxLIHGrFou2Oyj7NDBJgOpzjjyWPLf/Lx8ob+BQRQNmk5E5o6TZoScYjQbGpPlfHotLAYvFYmHjxo3k5OS0X8BoJCcnh7Vr3cspcOeaS5cuJS4uznHLyspy67Fd0iJJt37BYIDT71aPN/wTvlrm8YeQpNvApG1tdqmnkJTj19fgU8EYCtX5cOygW5fQZldmDZNmh57k2Cl01H/yWFwKWCoqKrBaraSkdJ52S0lJoaSkxK0BuHPNJUuWUFNT47gVFBS49dgukW7N/mPsRZD7Z/X48z/C+n959PKSwxKYHDuFyupRnPm03tYCR+wfiiThVh9h0TDIvpXczd1Cq3aqvyekWJxnaYm32wN1hsVfhIWFERsb2+nmdVKHxb/Muh3m/FY9/vhu2PKaxy4tpfkDU3ZSJCajgbqWNkprW3q/Q+F30NYEUcmQPMb7AxRdGzZX/epGX6HyuhY225sdni35Kx41zl7xdmdRrXMfAHzApYAlKSkJk8lEaWlpp++XlpZ2m1CrxzU9rs0Ctlb1WJaE/McZv4WTb1OP37sNdv3PI5dtb34o08uBJCzExOBEtY5Kj3ksNisUfAdrl6t/HnK6utQo9KH1FTr0JVhbXbrr57tLURSYmBlHapw0O/SkEckxhJoM1Da3UehqqQAvcSlgMZvNTJ06lby89oxum81GXl4es2bNcmsA3rimx1k6vPlJwOI/DAY4508w+RpQbPDWTz1ShEpmWAKXY6dQ2XFbm5uqYft/4e2fwbIR8H85sOcj9WcjzvbtIEVnqRMhcgBY6tSaLC6Q3UHeYw4xMtLe4sBfEm9d/gi5ePFirrvuOqZNm8aMGTN44oknaGhoYOHChQBce+21ZGRksHTpUkBNqt25c6fj+OjRo2zZsoXo6GiGDx/u1DV1pwUspjAwheo7FtGZ0Qg/ekp9s9v5Hrx+NfzkXRg00+1LSi+hwDU8OZpPd5ayv7QOynbDvk9g76dqoUGlQyO3sDgYfiaMvgDGXaLfgIX6f3joXNj+lrpbaLBzH1SbLFa+2qc2O5TuzN4xLj2WHUW17CiqZd74NL2H43rAMn/+fMrLy7nvvvsoKSlh8uTJrFy50pE0m5+fj9HYPnFTVFTElClTHH9etmwZy5YtY86cOaxevdqpa+pOtjT7N6MJLv23+ve0/zN45XK4/gNIm+jW5WSXUIBqbeY0NpMS8l/O3bENtnVeZiZpFIzMVW9ZM+XDhz8ZdqY9YPkczvy9U3f5al85LW02MhMiGJ0qBT29QU28LWT70QCdYQFYtGgRixYt6vJnWhCiyc7Odiphp6dr6k4LWMIk4dZvhZjhipfg5UvVT9MvXQI/XQlJI1y6jNWmYGlTKztK88MAUHO0fRbl0BpOaW3klBDAijojOmQ2jMiFkedAQrbOgxXd0hJvj25SC0JG9l5ev+NykDQ79A5/a4Io78jOkC3NgcEcCVetgBcuhOKt8OLFatAS73ydHi3hFmRJyC/ZrGqew96VsO9TKN3e+ccxabxeNYY82xQeu/sOEhMSdBqocElsOgwcA+W71No4vSzTdWx2eI4sB3nNmLRYDAYoq2uhvK6FgTFdF3/1lYDc1uxzsiQUOMLj4Jq31R4ltYXw4kVQ73yLBy3h1mCAsBD57+EXrK1qwux/b4LHhsNz58DXj9uDFYO6vHPmvXDL1xgX72J59B3k2aayv9o/tmIKJ7nQvXlzfhWVDRZiw0OYPkSaHXpLVFgIQ+w9uvwh8VbekZ0hVW4DS1SSmngbNwiOHVCXh5qqnLprY4dOzTLN7Ce+fEzdAfbDG9B0zN4E88dwyb/g7gNww6dw+q/Ulg0GAyNSutkpJPzbcC1g+aLXMv3actDc0cmESrNDr/Knzs3yN+0MWRIKPHEZcO27EJ2ifhJ/5fL2wLMH0vjQD2mfuCdcAQs/hrsPwmXPwaT5EDXghNOHD3Sjp5DQ36BT1LyjmgKo2Nfjqat2qQGL7A7yvvY8FplhCQxS5TYwDRimzrSEx6tVTV+/Clqbe7yLND70M5ZGKNqiHp95Dww+pdcmhdoMiwQsAcYc2b6luYdloQPl9RwsbyDUZGDOSGl26G3+lHgrAYszJIclcKWMVXNazNFqMt9bP+2xmqb0EfIzRZvUKtMxaRA/2Km7uNW1WfgHJ/JYtOWgk4cOICZctqZ7m7YkdKSykdpm1yoRe5oELM6wSA5LQMucCle+rk437/kQ3rsdbLYuT5UaLH4m396ccNDJTpfPHz5QrclRXNNMnc5vsMJFWsBy+Cu1OWUXPrMHLLI7yDcSo8yk29se7NJ5lkUCFmdIDkvgGzIbrngRjCGwbYXaMLGLxD4py+9n8tepXwc536YjLjLUsf3yQHmDN0YlvCV5nNqMsrURCjac8OOK+hY25qsJ9NKd2XfG+knirQQszpAloeAwah5c8k/AAN/9G/L+cMIpjhkWaXyoP5u1/ZfWoJNduusIradQqewUCihGY4/LQp/vKkNRYHxGLGlxET4eXP+l5bFs1znxVgIWZ0il2+Ax4TK44K/q8dePw9d/7fRjrXCczLD4gbKd0FIL5hj1k7cLHHks5ZLHEnAcAUveCT9y7A4ak+rLEfV7WsCyU2ZYAoAsCQWXaQvhbPvsymcPwHf/5/iRLAn5EW05KGt6rzuDjqfNsOwvlYAl4Aw9Q/1avBUaKhzfVpsdlgOyndnXxmeoS0L7yuppbrX2crb3SMDiDFkSCj6n/gJm/1I9/vCXsO1NoL1TsyTd+gFHwq3z+SuaYTLDErhiUiBlgnp8cLXj21/vr6C51UZGfARj0qTZoS+lxYWTEBmK1aawV8dlVglYnCEBS3A6816YcTOgwDs/g90fyQyLv1AUONJhh5CLRiSrv9DyjzXq+olQuElrhtghj0XbHXT2WGl26GsGg8EvKt5KwOIMKc0fnAwGmPcITFwAihXevJ60Y+sB6dSsu5oCqCtSd3VlTHX57knRZuIiQlEUOCg7hQJPx8RbRcFqU8jbLdVt9eRIvD2qX+KtBCzOcOSwyDRk0DEa4aLlMPoCsLZw/ZElZBuKiQiVGRZdafkraZPc+qBgMBjadwpJT6HAM2gWhERAXTGU72ZLQRUV9RZiwkOYIc0OdTHWDyreSsDiDFkSCm6mELU3TfpJhCnN5Bg3yZKQ3vqQv6LRdgodkIq3gSc0HLJPVY8PfM6qnWrH9bmjpNmhXrTE290ltVht+nRCl7/53rRZ1NLgIAFLMAsJgyGnA5BhqJCkW705Csa5nr+iGe6YYZGAJSBpy0L781i1swSQ5SA9DRkQRaTZRHOrjYM6JbNLwNIbS4e/GAlYglv8IAAyDRWSw6Knpiq1BgtAVt8DFukpFKDsAYvt8DcUllepzQ5HSbNDvRiNBsak6VtATgKW3mgBiykMTNJoK6jZm+tlGsplSUhPWnXbAcMh2v1fUCNS1Jyzw5UNtFq77h0l/NjA0RCThtHazDTjHk4eOoBYaXaoK0fn5qP65LFIwNIbqXLbf9hnWDIM5USEyn8N3eS7v525o/S4cCLNJlqtCkcqGz0wMOFTBoNjlmW28QdZDvID43ROvJV35d5Iwm3/EZ8FQKyhiWhkGUE3bjQ87IrBYJBloQBXlzEbgNONP3DWGAlY9NZei6UGpYvmsd4mAUtvpCx//xEaQbmi/oeMaSrWeTD9VGszHN2oHvcxYAEYPlALWGRrcyD6vHUcNsXAWOMRMkz69rERMDIlhlCTgdrmNgqrmnz++BKw9EZmWPoNm02hUFFzJiIbj+o8mn6qeAtYLRA1EBKH9vlyw1NkhiWQfbjfwnYlW/3DwS90HYsAc4jRUUV6hw6JtxKw9Eaq3PYbzW1WjipJAIQ3SMCii475Kx4ov67NsPhya/PL645w4wvfUVnf4rPHDEbNrVa+2lfBVzZ7X6EOZfqFfvTMY5GApTeyJNRvNFqsjhkWc12BzqPppzyUv6LRdgodKK/H5oNiV/mVjTz4vx18tquMP3yw0+uPF8y+2V9BU6uVXRHT1W8c+AJssttLbxKw+DPHkpAELMGuyWKl0D7DYqgp1Hk0/ZDN1h6w9KH+SkdZCRGYTUaaW20crfb+mvtjn+6h1aoGRu9tKWL1njKvP2awWmVvdpg89jQIjYKGMijbofOohFbxVpaE/JHksPQbHWdYqM7XdzD9UcVeaK5We8ikTfTIJUNMRoYOVP/vejuPZWtBNf/bWoTBAGeNTgbg9+9up9HS5tXHDUY2m8Jnu+zl+MdnQfZp6g9kWUh3Y9JiMRigtLaF8jrfLntKwNIbi+Sw9BeNljYKJGDRj5a/kjnNo0Uah/mgCaKiKCz9eBcAl0zJ4Kkrp5AeF05hVRNPfrbPa48brLYUVlNR30JMWAgzhwyA4WepP5CARXdRYSEMGaD+PvT1LIsELL2RHJZ+o8nSnnRLSw00Ves6nn7Hw/krmhE+qMWyek856w4ewxxi5JfnjCIqLIQ/XDQegH9/fcipN/ZWq43nvznEd4ePeW2cgUJbDjpjdDLmEGN7X6Eja8EiRQD1plfnZglYevBU3j5Wbjqg/kEq3Qa9RouVZsKoNsSr35BZFt/yUIXb43m7CaLV1j67svDUbDLiIwDIGZvC+RPSsNoUlrz9Q48dbmuaWrn+Pxt44H87ueWljbT181YCWsDiqG47YDjEZYG1BY58q+PIBLQXkNspAYt/+N/WIh5ftRdTmz2alyWhoNfYagWgIsT+JikBi+/UFkH1ETAYIXO6Ry+t1Y3YX1bvleqc/91YyN7SeuIjQ7ntjOGdfnb/hWOJCQ9hW2ENL3x7uMv7Fxxr5LKnv+Wb/ZUAVDZYWHew/86yHKpoYH9ZPSFGA3NG2pdoDQYYNlc9lmUh3Y3P0GZYZElId3tL6/jNf7cBEEmz+k1ZEgp6TfbkyKpQCVh8TlsOShkP4bEevXR2UiRGA9Q1t1Hm4STBJouVv6zaA8CiucOJi+ice5McG85vzx0NwLJP95ywU2lrQTWX/ONb9pXVkxIbxuwR6pLkB9uKPDrOQPKZfXbl5KEDOr+e2rKQBCy602ZYDlc2Utfc6rPHlYDlOLXNrfzspY00WqxEmU1EGbSARWZYgl2jRZ1hqQ5LU78hAYvveCl/BSAsxET2AO/sFHrum0OU1raQmRDBT2YN7vKcK6cPYtrgBBotVu5/b7tjlmfl9hLm/2stFfUtjE6N4d3bT+WWOcPUn+0o6bcdpk9YDtIMmaPOwJXvUmfkhG4So8ykxYUDvl0WkoClA5tN4ZdvbOVQRQPpceH86ZIJRCEBS3+hBSx14enqN2qkeJzPeCl/RePYKVTquZ1ClfUtPL1azXG7O3cUYSGmLs8zGg38+dIJhJoMfLarjI+3l/Dvrw5y6ysbaW61MWfkQN669RTS4iKYOSSRpGgz1Y2tfLO/wmNjDRTHGix8f0RdDjtrTHLnH0YmQvpJ6vEBKdOvNz0KyEnA0sHTaw6wamcpZpORp6+ZyoTMOCLtMyyKLAkFvSZ7wNIYYQ9Yqo/oOJp+pLkWSrerx14KWBxdm8s9N8Pyt8/3U9/SxviMWC6cmN7juSNTYhyzJ3eu2MIfP9yFosDVMwfxf9dNIzosBFDrxswbnwrAh9v6XwPOz3eXYVNgbFosmQmRJ57gWBbK8+3AxAnGOjo3S8Dic1/uLWfZp+pa9B8uGsekrHgy4iMcMyz1tnA9hyd8QJthaYrKVL8hS0K+UfgdKDaIHwyxPf/id9cIxwyLZwKWwxUNvLxODWh/d+4YjMbe+x7dPnc4Q5KisLSpSz2/O280f7x4PCGmzm/DF9iDn092lDjO7S9W7SwBulgO0jgCFinTr7fx6Z5JvC085vw2dbcCluXLl5OdnU14eDgzZ85kw4YNPZ7/5ptvMnr0aMLDw5kwYQIfffRRp59ff/31GAyGTrd58+a5MzS3FBxr5Oevb0ZRYMH0LBbMGARAeKiJKIOapHe0UWK7YNfUqibdtsbYA5ZmqcXiE17MX9FoMywHPDTD8tgne2izKZwxaiCnDE9y6j7hoSb+duUUzhydzD9/MpWbTx+GoYsGj9OzExkYE0Ztcxtf7y/3yHgDQXOrlS/3qstg3QYsmdPAHANNx6Bkqw9HJ443zl6if39ZPc32HZauKqtt5qaXvnf6fJd/C69YsYLFixdz//33s2nTJiZNmkRubi5lZV33zPj222+58sorueGGG9i8eTMXX3wxF198Mdu3b+903rx58yguLnbcXnvtNVeH5pbmViu3vbKJ6sZWJmbG8cCPxrX/sM1CKOovMQlYgp82w2KOiIZI+y8hyWPxPi/nrwAMs3dtrqi3UNVg6dO1NudX8eEPxRgMOHYAOWt8RhzPXT+d3HGp3Z5jMho4f4Ka+P3B1v6zLPTtAbXZYXpcuCM/4gSmUBhyunosu4V0lR4XTnxkKG02hb1u5IZVNVi45v/WU3DM+R5fLv8Wfvzxx7nppptYuHAhY8eO5ZlnniEyMpLnnnuuy/OffPJJ5s2bx913382YMWN46KGHOOmkk/j73//e6bywsDBSU1Mdt4SEhG7H0NLSQm1tbaebOxRF4b73tvPD0RoSo8w8fc1UwkM7JM5Z2j+N5XuvqrfwA82tVn44qk5txoaHQnyW+gNZFvIuaysU2j9heXGGJSosxFHQrS95LGoJ/t0AXHZSJqNTPbsFW3P+RDVgWbWz1O1Pr4FG2x2UMzaly5knB0c9Fkm81ZPBYHA78ba+pY3rn/+OvaX1DIw2O30/lwIWi8XCxo0bycnJab+A0UhOTg5r167t8j5r167tdD5Abm7uCeevXr2a5ORkRo0axa233kplZWW341i6dClxcXGOW1ZWlitPw+G1DQW88X0hRgP87copjjc0B3vA0qKEUlgrDcyC2eOr9nKwvIGkaDM5Y1MgXl0WlIDFy4q3QVsTRCRA0kivPtRwD+Sx5O0qY8OhY4SFGFl8jvfGO3VQAqmx4dS1tPHVvuDfLdSx2WHOmG6WgzRaX6H8ddDi3YaWomfj0l3v3NzcauXGF75ja0E1CZGhPHvdNKfv61LAUlFRgdVqJSWl8z+olJQUSkpKurxPSUlJr+fPmzePF198kby8PB555BHWrFnDueeei9Xa9SeLJUuWUFNT47gVFLg+bb+loJoH3ldbld+dO5pTu1qHtndqriecwirpXxGs1h2s5NmvDgLw8KUTSYwyS8DiK9pyUNbJYPTusuvwPvYUarPaeHilOrtyw2lDSIuL6OUe7jMaDZynLQv1gyJyWwurKa9Tmx2ePHRAzycnDoWEbLC1wpFvfDI+0TVXZ1harTZuf2UT6w4eIzoshBd+OoPh9krUzghxa5QetmDBAsfxhAkTmDhxIsOGDWP16tWcddZZJ5wfFhZGWFiY249XUd/CrS9vxGK1kTsuhVvmDO36RHvA0qiEn1ChUgSHuuZWfvnGVhQF5k/LUmdXQN2xAhKweJsP8lc0I/rYtfnNjYXsL6snITKUW84Y5smhdemCSWk8980hPrMvC3Varg4y2nLQnFED1WaHvRl2Jnz/HOzPg5G5Xh6d6I42w7KruBarTcHUw245q01h8RtbydtdRliIkf+7bhoTM+NdSulw6SNNUlISJpOJ0tLSTt8vLS0lNbXrJLLU1FSXzgcYOnQoSUlJ7N+/35XhOaXNauOOVzdTXNPM0IFRLLt8UvfrpfYloQbCOVolAUswevB/Ozla3URWYgT3Xji2/Qcyw+J9iuKTHUIax04hN2ZYGi1tPL5qLwB3nDlCzXPysin20goNFiur93S9qSFYfLarm+q23ZEy/X5hSFIUEaEmmlttHOwhN0xRFH7/7g/8b2sRIUYDz1wzlZm9zaR1waWAxWw2M3XqVPLy2ov22Gw28vLymDWr6zecWbNmdTofYNWqVd2eD1BYWEhlZSVpaWmuDM8pj32yh7UHK4k0m/jnNVOJ6emNx74+2kgYVY2tNFokjyWYfLKjhLc2FmIwwONXTHYU7wIkYPGFygPQWAGmMEif7PWH0wKWoppm6ltc+7/8768OUV7XwqDESK45uesS/J5mMBgcybcfBHERuSOVDewtVZsdnjEqufc7AGTPBoMJKvfJ/1EdmYwGxqSpSzrdLQtpieqvbSjAaIAnFkxm7mgn/56P4/Ki8eLFi3n22Wd54YUX2LVrF7feeisNDQ0sXLgQgGuvvZYlS5Y4zv/FL37BypUr+ctf/sLu3bt54IEH+P7771m0aBEA9fX13H333axbt47Dhw+Tl5fHRRddxPDhw8nN9exU30c/FPPPL9Vchccum8SIlF7WzuxLQi1Gda1aZlmCR3ldC0ve/gGAn50+jOnZiZ1PiLMncjdXq/VYhOdpy0EZUyHE/SVeZ8VHmkmKVh/HlVmW8roW/rmmvQS/U0sWHqJtb87bVRa0H5i05aCZQxNPaB7ZrYh4tSYLyG4hnfWWePvXVXv5l/337tJLJzgKI7rD5f958+fPZ9myZdx3331MnjyZLVu2sHLlSkdibX5+PsXF7Z8GTjnlFF599VX+9a9/MWnSJN566y3effddxo8fD4DJZGLbtm386Ec/YuTIkdxwww1MnTqVr776qk95KsfbX1bH3W+qhYZuPn2o45NLj+xLQrZQ9ZNZoQQsQUFRFJa8vY1jDRZGp8Zw19kjTjwpLBoi7VOW1VKLxSscy0Hez1/RtOexOB+wPJW3jwaLlUmZcY4AwlcmZsaRlRhBU6uVL3YHZxE5x3bm3nYHHU+WhfxCT4m3f/98H099rqZ2PHDhWOZPH9Snx3Ir6XbRokWOGZLjrV69+oTvXX755Vx++eVdnh8REcEnn3zizjCcVtfcys0vbaTBYmXW0AH8OneUc3e0z7AYwqKhDgol8TYorPiugM92lWE2GXliweRum9YRlwWNleqUc+p43w6yP3Ak3Ho/f0UzPDmatQcrnd4pdLC8ntc2qEsOv3WyBL8nGQwGzp+QzjNrDvDBtiLnPmgFkKoGC98dVpsdOp2/ohl2FqxeCgdXg80KxuBNSvZn4+0Vb7cfrUFRFEdO6LNfHmTZp2re1+/OG831pw7p82MFfflWRVH49VvbOFjeQFpcOH+7asoJvTu6ZQ9YQsPVT2WyJBT48isbeeiDnQD88pyRPRf+kjwW76kvg2MHAANkTffZw45I0bY2O7dTSCvBf9boZGYNcz1J0BMusAcpn+8uo8HF3Bt/pzU7HNNds8OepE+B8Dh12bZos1fGJ3o3IiWaEKOB2uY2xyrEC98e5k8f7QLgl2eP5ObTPbOrLugDln9+eZCPt5dgNhn5x9UnOdawnWJfEgqLVH+pydbmwKZuq9tCg8XKjCGJ3Di7m+3sGglYvEdbDkoeqxaN85HhA52vxbLxSBUfby/BaIDfuFiC35PGpceSPSCSljabYzdNsHDsDhrjRhKmKQSGzFGPZVlIN2EhJkc+6I6iWl7bkM/99hpni+YO546zulhyd1NQByzf7K/gUXuhp/t/NJYpg1x8Y7QHLBHRasAixeMC27++PMj3R6qIDgvhL5dP6rFmANChFssR7w+uv9EhfwVguH2GJf9YY48l7xVFYan9E+IV07IY2VuCvhd13C30YRDtFmputbJmr5qXc/bY7stc9EjyWPyClsfy9Or9/O4ddTPDzacP5ZcergYdtAHL0eom7nhtMzYFLp+ayVUz3Ej2sS8JRcXEq9eUJaGAtaOohsdX7QHgvgvHkpXoxPSzNsMiDRA9T4f8FYCB0WHEhodgU+BQRUO35326s5Tvj1QRHmrkrrO92zLAGdrOitV7y6lrbtV5NJ6x9kAljRYrqbHhjM9wsyeT1leoYAM0u9dTTvSdFrBsLaxBUeC6WYNZcu7onntCuSEoA5bmViu3vbyRYw0WxmfE8tDF41174RQFvvs37HwPgJikDADK6lpoaesfjciCSXOrlcUrttJqVTh7bAqXT8107o6yJOQdlgYoVnfs+XqGxWAwOKavu9sp1Gq18Yi9weGNpw0lJTbcZ+PrzujUGIYOjMISRMtCq3ZpzQ6T3f/FlpANicNAscLhrzw3OOESLfEW4MoZWdx/4TiPBysQpAHLg//bwdbCGuIjQ3n66qmulbRuqYP/3ggf/hKsFhh1HtFTLiU8VH2piqubvTRq4S2Pr9rLntI6kqLNLL10gvP/kbSOzU1V8unNkwq/V3/BxGa2v8Y+1Fsey4rvCjhY0UBilJmfdde2w8cMBoNjluWDrYG/LGSzKXy2U6tu6+ZykEZrhijLQrqZkhXPxZPTufWMYfzp4gle200XdAHLiu/yeW1DAQYDPLVginNT/5rSnfCvubD9LbWK4tkPwYJXMYSEOTLYpRZLYDm+saFLSddhMRBhLygny0Keo1P+iqannUL1LW088Zm6FfMXZ43ouRK2j2m7hb7cV05NU2AvC207WkNZXQvRYSGcPDSx9zv0RMtj2Z/X83nCa0JMRp5YMIXfzBvt1a3/QRWwbD9azb3vqdnJvzx7JKePHOj8nbe8Cs+eqZZ6jkmHhR/BqT8H+6fxjHh7tdtqSbwNFN02NnSFNgMgy0Ke48OGh10Z1kPX5me/PEhFvYXsAZFc6U7emxeNTIlhZEo0rVaFT3eU9H4HP6bNrswZObD7OkjOyj4NjCFQdQiOHfTA6HykqRqePQtW/k7vkQSMoApY7lqxFUubjZwxKdx2xnDn7mRphPduh3dvhbYmNVq/5asT3kwzEqQ8f6DptrGhKySPxbOsbVD4nXrs44RbjVbt9lBFA21Wm+P7ZXXNjtm4X88b7dMS/M46f4K6LPThD4G9LLRqp4vNDnsSFgNZM9XjQCrTv+MdOPo9rFuuzu6LXvnf/8g+KK5pZkhSFI/Pn+TctFTFfvh3Dmx+GTDA3Hvg6rcgKumEU7UZFql2Gxh6bGzoCsfWZglYPKJ0u1ouICwOksfoMoT0uAgiQk20WhWOHGufMX3ys300WqxMzorn3PF9zKvwEm1789f7KqhutOg8GvfkVzayp7QOk9HAXGebHfZG2y0USHksuz9oP/7mSf3GEUCCKmAJDzXyzDVTnWv9vv1t+NccKNsBUQPh2ndhzq+7Le+cKTMsAaPXxoaucMywSC0Wj9DyV7Jm6FZK3Wg0ODo3a8tC+8vqef07NU/pd+eN8coOB08YnhzN6NQY2mwKnwTospC2O2hGdiJxkR7KEdLyWA59qc7i+bvmGji4pv3P29+SnmVOCKqA5aGLxjMqtZcCT20t8NHd8NZC9ZPe4FPhZ1/B0DN6vJsWsEjSrX9zqrGhKxwBi7yZeITO+Sua4wOWR1fuxmpTt73PGNLHJFAvu3CSfbdQgBaRW7VTDbQ8shykSZusJsi31MLRjZ67rrfsWwW2VkgaCUNOB1sbrF2u96j8XlAFLOf21km16jA8lwsb/qX++bTFcO37ENt7Q7GMeHWXUEltc6d1b+FfnG5s6CzJYfEcRemwQ0if/BVNx4Dlu8PH+HRnqVqCf56TjVF1pHWM/vZAJZX1LTqPxjXVjRa+O1wFeDhgMZraP3QeCIDdQrv+p34dfQGceqd6vOkFaDym25ACQVAFLD3a/RH883S1SVZ4PFz1BuTcr/ajcEJyTBihJgNWm0JpXWC9SfQXHRsb/iq3l8aGzorTarEcU2v0CPdVHYb6EjCGQsZJug5FC1j2ltbxZ3sJ/vnTBzE8Wb8S/M7KTopifEYsVpvCJzsCq4jcF3vKsNoURqfGuFZywhmBUqa/tRn2f6Yej7lAHXfqRGhtbP8wLboU/AGLtRU+vRdev1JdN8yYpu4CGpnr0mWMRgNpcZLH4q+Ob2x4w2keKvgVHtvenE+WhfpGm11JnwKhEboORdsptKOols351USEmrgrx3NN2rxN2y30wbYinUfiGo/uDjqelnh7dKNa7NFfHVqjpiPEpEPaFLV0xml3qj9b/09HSxhxouAOWGqOwvMXwLdPqX8++TZY+HH7NL+LHDuFpAmi33G5saEr4qQWi0f4Sf4KwKDESMym9re/m04fSrIflOB3llZEbt3BSsoDZMa3pc3Kmj1as0MvBCxxmZA0ChSbmnzrrxzLQeeD0f5vcMxFapuBpmP2Xav9iAtb0YM3YNmfB/+cDQXrICwWrngR5i2FELPbl5SdQv5pZ1Gt640NXSF5LJ7hJ/kroFbmHJIUBUBStJmbT/ePEvzOykqMZFJmHDYFVm4PjOTbtQcqabBYSYkNY3x6XO93cIe/LwvZrLDnY/V4zAXt3zeFwCl3qMff/l1dGegvtADOCcEXsNis8MWf4eUfQ2MlpE6Am1fD2Iv6fGlH8TipxeI3mlut3LViC61WhXNcaWzoCkctFtna7LaGSqhQg0pHkS+dTR+iLvX96pxR7tfp0ZGjt1CA7BbSloNyxqR4r3y71ldo/+dqkre/yV8HjRVqHuXgUzv/bPLVaomNmny17EZ/YLO5FFwGV8BSXw4vXQJrHgEUmHo93LAKBgzzyOXby/NLwOIv3G5s6AqZYem7gvXq16RREDVA37HY3XPeWD76+WwW+FkJfmedO0Etbrfh8DFKa/27KavNpji6THtlOUgz+BQwmdVf+v5Ypn/3h+rXUeeC6bgaNKERMPMW9fibJ/0z4PK0os1qAOek4ApYnstVE5pCI+GSf8GFT3o0uS9DarH4leMbGw5wpbGhKyRg6Ts/yl/RRJhNjE33wE4ynWQmRDJlUDyKAh/7ean+7UU1lNa2EGU2MWuYFwNWc1T7vzF/a4aoKLC7w3bmrky/AczRakHTfat8Nza97PvEpdODK2BpKIOBo+GmL2DSfI9fPtNei+VodRM2Wz+Ifv2YRxobOksLWKRjs/v8KH8lmATKspC2HDRnlAeaHfbGX/NYSn5QP/SERLSP8XgRCerKAMA3T/hqZPrZ258DlnGXwk2fQ/Jor1w+NS4cowEsbTYqGgIjMz9YeaSxobO0js2NldByYodf0YvWJnXqF/xqhiUYnGdfFvr+SBXFNf478+vV7czH04KBw19Bmx/1W9J6Bw0/C8w9bAyYdbtaq+jIN1CwwTdj00NdCRRvcekuwRWwXPikOiXoJeYQIyn2rY+yU0gfiqLw0trDnmls6KzwOPUGMsvijqOb1DLk0anq1k3hMWlxEUzPVpOHP/TTWZaCY43sLvFws8OepEyAyCS11onWGdwf7LIHLN0tB2li02GifYXg6ye8OiRdaUteqROdvktwBSw+aFgmibf6qWlsZdGrm7n3vR0A3DKnj40NXSF5LO7rmL/ip00FA5lWqv9DP81j0WZXpmcnEB/pflkJpxmN/te9+dhBNS/FYHKuaOmpPwcMsOdD2PeZ14enCy1/ZdhZTt8luAIWH5DEW318d/gY5z31FR/+UEyI0cBv5o3m7nN82PfFsbW5m4DF0tg/svrdIfkrXnXehDQMBticX+2XRS3bl4NSffeg2i9BfwlYtN1B2adBpBMfsgaOas9leWshlO322tB00WaBA6vV4+HOByyBV3xAZ44ZFglYfKLNauNvn+/nb5/vw6bA4AGRPLVgCpOy4n07EG2GZfcHUFcMtcVQV2T/Wqx2iY0fBOc/DiPO9u3Y/JnN2r4OL/krXpEcG86M7ETWHzrGRz8Uc/Ppninj4Ak1ja1sOKw29Dt7jA/yVzTaDEvRZrUGkN5b6bXloDEXOn+fcx+B8j2Q/y28Nh9u/Fz/5+Ep+d+CpQ6ikvvxkpAPZCa07xQS3lVY1ciCf63jyTw1WLn0pAw+/Pls3wcr0D7DcnA1fPUX2PqqelyxRw1WQJ19eeUy+O+Nak0gAWW7oKVG3aqZMl7v0QStCyapu4X8LY9Fa3Y4KiWGQQM8XIG6JzGpkDwOUODQat89blfqy9rrEI06z/n7hYTB/JfU956qw/DGT/wribgvtN1BI85pb0/gBAlYXJQh5fl94oNtRZz75FeO/kBPLpjsmwTb7oz/sZosN+p8mH4jnHkvXPwMXPse3P4d/GofzFoEBiP88CYsnw5bXpNlIi1/JXO6053RhevmjUvFaICthTXkV/rPspBPdwcdz1/yWHZ/CCiQfhLEZbh236gkuGoFmGPUXUMf3BUc7ylawDLyHJfuJu8gLurYAFFRFO9UVu3HGlraePB/O3jj+0IAJmfF89SCKb79dNaV6IGw4JWez8n9E4y/FN7/BZT+AO/eAttWwIVP9N/dMZK/4hMDY8KYNWwA3+yv5MMfirn1DP2XhVrarKzZq840erVOUneGnQlr/64211MU/RK+te3MY3rZHdSd5DFw+X/g1Stgy8tq2Q6t71AgqjwAxw6oW7eHzgUXJo1khsVFWsDSYLFS09SPGlT5wPajNVz4t69543t1y/KiucN585ZZ+gcrrsiYCjd/AWfdD6YwOPgF/GMWfPW4mu/S3zgCFslf8bbzJ2hF5Ip0Holq3cFj1Le0kRwTxsQMLzU77MngUyAkHGqPQsVe3z8+QHMtHFyjHo92IX/leCPOhtw/q8ef3gt7VvZ9bHrRZlcGz4Jw1ypNS8DiogiziQFR6tY82SnkGTabwrNfHuSSf3zDwYoG0uLCee2mk/lV7ihCTQH4T9QUCrMXw21rIXs2tDZC3oPw+Gh4+jT47EE4shasbXqP1LuqC6C2UN3KmTlN79EEvXnjUzEZDewoquVQRYPew2HVzhJAnV3xWrPDnoRGqEEL6LcstOt9tQZR0kgYOLJv15p5i33nkAL/vQFKd3hihL6nbWceOc/luwbgbwP9ZUrXZo8pq2vmuv9s4E8f7aLVqpA7LoWPfzGbk4cGQTb8gGFw3f/gouWQMQ0wqEtFXz8O/5kHjw2FNxfCllfVxLxgo82upE3yakFHoUqMMnOKvU/PhzrPsjRZrHy2U/037dPdQcfTqt7q0Veo4Dv46G71ePxlfb+ewQDnLVM/BFnq4dUFgZfc31IHh79Rj0c4UY/mOBKwuEESbz3j892lnPvEV3y1r4LwUCN/vmQCz1wz1TfFpXzFYIAp18BNeXD3frUp5/jL1PbyzTWw421491ZYNgL+dQZ88Wco/F7dDhzoHAXjJH/FVy7UubdQc6uV//v6ELMf/YKS2maiw0K82+ywN44y/V9Dmw/bqZTuVHcMtjaqNWFOu8sz1zWFwhUvQuJQtSP1iqt9+7z66uBqdcYpcSgkDXf57pJ064b2xFsJWNzR3Grl4Y938/y3hwEYnRrD366cwoiUGH0H5m1RSWpTzknz1YCk8HvYvwr2fQrFW9WaEUWbYc0jEDkAhufA8LPVwkrOFJvyN5K/4nPnjEvhd+8Y2F1Sx/6yeoYnR/vkcZtbrby2IZ+nVx+grE79BZqZEMEfLx5PeKiXmx32JHksRKdAfan673HoHO8/ZtVheOkSaK6GzBnq1uQQD34Ii0yEK1fAv3PU7dL/+wVc/HRgVJF2bGd2fXYFJGBxS3t5fv/ZPhgo9pXWccdrm9ldUgfAwlOz+c280fq+qenBaIJBM9Xbmb9XG4Ht/0wNXg58oTZa3LZCvRmM6pLSiHPU5LvUiS7VLtBFUxWU7VSPJWDxmfhIM7NHJPHFnnI+3FbML3JGePXxWtqsrPiugOVf7Ke0Vg1UMuIjuOPM4fx4aqb+OWgGgzrLsvU1NY/F2wFLfRm8eDHUl6jB0lUrvLMcOnAkXPE8vHyZ+twGjvLcLI632Gzq+xu4vJ1ZIwGLGzKkeJzLFEXh1Q35PPTBTppbbQyIMrPs8knMHe2DZmiBICZVXTqacg1YW9XqsPs+VRuEle2Awg3q7Ys/qtUhR5yt3obOhYh4vUd/ooLvAAUSh0G0/B370vkT0/liTzkfbCvyWsDS0mblje8L+ccX+ymuaQYgPS6c288czuVTszCH+FFA3TFgOftB7z1OUzW8dClUHVKLvV3ztndnRoedqVbD/ehXaiL/gBHub532hZKt6kxXaBQMPtWtS7j1r2r58uVkZ2cTHh7OzJkz2bCh5xbYb775JqNHjyY8PJwJEybw0Ucfdfq5oijcd999pKWlERERQU5ODvv27XNnaD6RKTksLqlqsHDLyxu5553tNLfamD0iiY/vnC3BSndMoZB9qvrmetu3cNcOuOAJtWhdaBQ0lMGWV+DN6+Gx4fDK5WriblO1zgPvQPJXdHP22BTMJiP7yurZW1rn0Wtb2my8uj6fuY+t5t53t1Nc00xqbDgPXTSOL+4+g6tnDvavYAXUoB6gZJv3klQtjfDaAjWpPioZfvIOxKZ557E6mnGTWsgSBd6+GYq3ef8x3bXXPrsybK5axdcNLv/LWrFiBYsXL+b+++9n06ZNTJo0idzcXMrKut7l8O2333LllVdyww03sHnzZi6++GIuvvhitm/f7jjn0Ucf5amnnuKZZ55h/fr1REVFkZubS3Nzs1tPytu0pNuqxlYaWoJ8a2ofrT1QyblPfsUnO0oJNRm457wxvLBwBskx4XoPLXDEZcK0hXDlq/CbQ2p13VmL1E9UtlZ1JubdW+3ByxVqhV29gxfJX9FNXEQop49MAuCDrZ7ZLdRqtfH6hnzmLlvN7975gaKaZpJjwnjwR+NYffcZ/GRWNmEhfrqsGz2wvV/NwS88f31rq/rhIX8thMXBT95Wdwj6yryHYegZ0NoAr10JdaW+e2xXOLYzu5e/AmBQFNfq/M6cOZPp06fz97//HQCbzUZWVhZ33HEHv/3tb084f/78+TQ0NPDBBx84vnfyySczefJknnnmGRRFIT09nV/+8pf86le/AqCmpoaUlBSef/55FixYcMI1W1paaGlpz4yura0lKyuLmpoaYmNdK0TjrgkPfEJdcxuf3nU6I4M9WdRJFfUt7CiqZfvRGnYU1bD9aC35x9Q8nyFJUTy1YAoTMnUoIBXMynbDzndhx7tQvqv9+8ZQNVl33CUw6lwI9+Hr3tYCS7PA2gKLNrq1G0D0zbubj3Lnii0MHRhF3uI5blfkbrPaeHvzUf72+T4KjqkzygNjwrh1zjCumjkocHLPVt0P3zwBk66ES55x7b6tzfaGp0X2r0fVY+1WU6AudYREqDMrg3WYVWyqUpNwK/er+W7XfwihfvShsL5c3QmJAr/coy6B29XW1hIXF+fU72+XclgsFgsbN25kyZIlju8ZjUZycnJYu3Ztl/dZu3Ytixcv7vS93Nxc3n33XQAOHTpESUkJOTk5jp/HxcUxc+ZM1q5d22XAsnTpUh580ItrkU7IiI9gd0kdR6ua+l3AoigKpbUtbD9aw3Z7YLKjqMaxln28+dOyuO/CsUTp1QcomCWPhuTfwhm/7RC8vAPlu2HvSvVmMqtbK8dd7JvgpWiLGqxEJvn2k6ZwOGtMMuYQIwfLG9hVXMfYdNc+yLVZbby3pYinPt/HEXtvoqRoM7fMGcbVMwcTYQ6QQEUz7Ew1YDnweXuZfkVRG5fW2oMQLSipPWr/XpHakb2xsvfrh0TAFS/oE6wARCTAVW/As2fC0e/h/UVw6bP+s3No/ypAUWsydQhWXOXSb5CKigqsVispKZ0LAaWkpLB79+4u71NSUtLl+SUlJY6fa9/r7pzjLVmypFMQpM2w+FJmghqwFAZ54q2iKBQca1JnTDoEJxX1XTeAGJoUxbiMOManxzI+I45x6bHBVVfFn3UKXnapsy473lE7Su/9WL2ZzOp26bEX24MXL8xIOvJXTvafN8x+JiY8lDNGDuTTnaV8+EOR0wGL1abw/tajPJW331Etd0CUmZ/NGco1Jw8m0hygHzoGnawGFfWl8J9zoaFCDVAs9c7dPyQcYtMhJl39GpsGsRkQY/86YKgaNOhpwDC1RsvLl6oNWAeOgtPv9s1j1xyF7f9VgzyrRb3Z2tqPS35Qz3NzO7MmIP/1hYWFERbmXtKOp2TadwoVVgXP1marTeFQRYN9Oac9OKltPjFPx2iAEckxjMuIZXx6HOMz4hiTFkNMeKgOIxcnSB6j3rTgRZt5qdgLez5Sb6YwNXgZd7FaJttTwYs0PPQLF0xK59OdpXywrZhfnTOqx2Uhq03hg21FPJW3jwPlaqCSEBnKzacP49pZgwN/djQkTE323PNRe0CtCY/rEHykt99iOhxHJARG8D10Dpz3mNrV+fM/qi0Bxl7kncdqs6gfgja9BAfyQLH1fp8+7mJy6V9hUlISJpOJ0tLOST2lpaWkpnY9zZOamtrj+drX0tJS0tLSOp0zefJkV4bnU1otlv9uLCQpKoz5M7KIDaBf1trMyZbCarYWVLOtsJodRbU0Wk6ssGo2GRmVGsP4jFjGpquzJ6NTYwNvWrg/MhggZax6O2OJfeblHfVWuQ/2fKjeTGHqNumxF8OoeRDm5jKnzQYFErD4g7NGJxMeauRIZSM7imoZ30UDQptN4cMfinkybx/7y9TZhriIUG4+fSjXnZJNdKAHKh2dtwyGnK4GH9rMSGxa8LWNmPZTKN8L65+Gt3+mbrFOn+y565ftUoOUba93Xi4bdIo6k2UyqzsdTaHtx8ZQtbpt2qQ+PbRL/xrNZjNTp04lLy+Piy++GFCTbvPy8li0aFGX95k1axZ5eXnceeedju+tWrWKWbPUN7MhQ4aQmppKXl6eI0Cpra1l/fr13Hrrra4/Ix+ZOzqZf311kPK6Fv700S6ezNvHgulZLDxtiCOY8ScV9S1sK6xmS0GNI0Cpajyx23R4qJGxaepyzvj0OMZlxDIiOcb/tioK13UMXub+Ti3s5ghe9sPuD9SbFryMu0TN6HcleKnYqyYAhkRA2kTvPRfRq6iwEM4cncxHP5TwwbbiTgGLzaawckcJT362jz32rc+x4SHcNHso15+aHZwzpXEZcLL//k7xqHP+qH4g2f+ZunPops/7ts26uVZd8tn8Ehzd2P796FSYfCVMvsYnyfUu7xJasWIF1113Hf/85z+ZMWMGTzzxBG+88Qa7d+8mJSWFa6+9loyMDJYuXQqo25rnzJnDww8/zPnnn8/rr7/On//8ZzZt2sT48eMBeOSRR3j44Yd54YUXGDJkCPfeey/btm1j586dhIf3nunsSpaxJzW3Wnlvy1Ge/eqQ49OJyWjg/Alp3DR7qG47Yhpa2th+tIathdVsLVC/dtVGwGwyMiY9lkmZcUzMjGdSZhxDB0Zj0qOzqtCPoqidX7Vlo8r97T8LCbcvG12iLhuF9VLq/fv/wAd3qg3arv+g53OF1324rZjbX91EZkIEX/16LooCn+4s4YnP9jmqTceEh3DDaUP46WlDAmqWWPSiuQb+fbaaw5Y+Ba7/CMyRzt9fUeDIt2qQsuNdaLP/DjGGqO8FU36ivjeY+jYL57VdQqBuUy4vL+e+++6jpKSEyZMns3LlSkfSbH5+PsYOZcNPOeUUXn31VX7/+9/zu9/9jhEjRvDuu+86ghWAX//61zQ0NHDzzTdTXV3NaaedxsqVK50KVvQUHmpi/vRBXD41izV7y3n2q4N8e6CS97cW8f7WIrISIxgQFcaAKDMJUWYSo8wkRJpJjAq1f7V/P9JMXESoWy3YW6029pTU2YOTarYV1rC3tA5bF2Ho8ORoJmbGMTkrnkmZ8YxOi/Hf2gnCdwwGSB2v3ubeA6Xb2xN2jx1on3kJCW+feRmR23XwIvkrfuXM0clEhJoorGri6TUH+GBrMTuLawGICQth4WlDuOG0IcRFSKASdMLj4KrX4dmz1B5l790Gl/2n91yc2mLY+ipsfhmOHWz/ftJINUiZtEC36tUuz7D4I71mWLqy/WgN//7qIB9sK6atq6ihG0aD2gckITK0Q2DTHtCoAU8ocRFmCqsaHTMn24/W0NJ2YrJTWlw4EzPjmJQVz+TMeMZnxsmnJ+EaRVGz+7WZl45vXiERnZeNtDyAJyZC9RG1LPnws3QZtuhs0aubOnVvjjKbWHjqEG6cPUR28PUHh7+BFy9Si0yesURNxD+etVUtgbD5ZbUQpZZAa45W/4+fdC1kTvdK4rErv78lYPGSivoWDlc0cKzBQlWjhcoGC1UNFo41tFLVaHF8/1iDhbouduG4IiY8hEmZ8UzKirN/jScl1r9np0SA0YKXHe+oAczxwcvIc9QS6B/cqTZr/M0R72yZFi77cm851z63gUizietPyeam2UNJiJJApV/Z9CK8f4d6fNlzMP7H6nH5HnXJZ+vr0NChbcGgWWpfs7EX974M3EcSsAQYS5uN6iYLVQ2tnQKZqgYLxxrVr5X271c1tJIUE8aUrPYAJXtAlFvLSUK4RVHUviw73lGXjqoOdf556gS45Wtdhia6tqekjuSYMAlU+rNP7oG1f1eXduf8BvZ8rDZU1UQlqwm0U34CSd7t8t2RBCxCCN9QFCje2r5sVHUYzroPZv9S75EJITqyWdUdQ1pPHwCDyZ5Ae426xGvyfdqABCxCCN9TFLUuQ0QiGGUbvBB+p7kWXr9K/X86cb7aWykmpff7eZFXdwkJIUSXDAaIStJ7FEKI7oTHBnS5AfkYJIQQQgi/JwGLEEIIIfyeBCxCCCGE8HsSsAghhBDC70nAIoQQQgi/JwGLEEIIIfyeBCxCCCGE8HsSsAghhBDC70nAIoQQQgi/JwGLEEIIIfyeBCxCCCGE8HsSsAghhBDC70nAIoQQQgi/JwGLEEIIIfxeiN4D8ARFUQCora3VeSRCCCGEcJb2e1v7Pd6ToAhY6urqAMjKytJ5JEIIIYRwVV1dHXFxcT2eY1CcCWv8nM1mo6ioiJiYGAwGQ5fnTJ8+ne+++87jjx0o162trSUrK4uCggJiY2M9dl0InNfAm9eV19d715XX1rvXldfXu9f11usbSK9BT9dVFIW6ujrS09MxGnvOUgmKGRaj0UhmZmaP55hMJo//ZwzE68bGxnr8uoH2GnjruiCvrzevK6+t/NsN1OuC51/fQHsNerpubzMrmn6TdHv77bfLdb0k0F6DQHptIfBeh0B6fQPtNQik1xYC73UIpNc30F4DT1w3KJaERO9qa2uJi4ujpqbGa58g+jN5fb1HXlvvktfXu+T19Zx+M8PS34WFhXH//fcTFham91CCkry+3iOvrXfJ6+td8vp6jsywCCGEEMLvyQyLEEIIIfyeBCxCCCGE8HsSsAghhBDC70nAIoQQQgi/JwFLAFm6dCnTp08nJiaG5ORkLr74Yvbs2dPpnObmZm6//XYGDBhAdHQ0P/7xjyktLe10zs9//nOmTp1KWFgYkydP7vKxPvnkE04++WRiYmIYOHAgP/7xjzl8+LCXnpn+fPnavvHGG0yePJnIyEgGDx7MY4895q2n5Tc88fpu3bqVK6+8kqysLCIiIhgzZgxPPvnkCY+1evVqTjrpJMLCwhg+fDjPP/+8t5+ernz12hYXF3PVVVcxcuRIjEYjd955py+enu589fq+/fbbnH322QwcOJDY2FhmzZrFJ5984pPnGCgkYAkga9as4fbbb2fdunWsWrWK1tZWzjnnHBoaGhzn3HXXXfzvf//jzTffZM2aNRQVFXHppZeecK2f/vSnzJ8/v8vHOXToEBdddBFnnnkmW7Zs4ZNPPqGioqLL6wQLX722H3/8MVdffTW33HIL27dv5x//+Ad//etf+fvf/+615+YPPPH6bty4keTkZF5++WV27NjBPffcw5IlSzq9docOHeL8889n7ty5bNmyhTvvvJMbb7wxqN/4ffXatrS0MHDgQH7/+98zadIknz5HPfnq9f3yyy85++yz+eijj9i4cSNz587lwgsvZPPmzT59vn5NEQGrrKxMAZQ1a9YoiqIo1dXVSmhoqPLmm286ztm1a5cCKGvXrj3h/vfff78yadKkE77/5ptvKiEhIYrVanV87/3331cMBoNisVg8/0T8kLde2yuvvFK57LLLOn3vqaeeUjIzMxWbzebZJ+HH+vr6am677TZl7ty5jj//+te/VsaNG9fpnPnz5yu5ubkefgb+y1uvbUdz5sxRfvGLX3h03IHCF6+vZuzYscqDDz7omYEHAZlhCWA1NTUAJCYmAmoU39raSk5OjuOc0aNHM2jQINauXev0dadOnYrRaOQ///kPVquVmpoaXnrpJXJycggNDfXsk/BT3nptW1paCA8P7/S9iIgICgsLOXLkiAdGHhg89frW1NQ4rgGwdu3aTtcAyM3NdenvKNB567UVKl+9vjabjbq6Ovk76EAClgBls9m48847OfXUUxk/fjwAJSUlmM1m4uPjO52bkpJCSUmJ09ceMmQIn376Kb/73e8ICwsjPj6ewsJC3njjDU8+Bb/lzdc2NzeXt99+m7y8PGw2G3v37uUvf/kLoOYI9Aeeen2//fZbVqxYwc033+z4XklJCSkpKSdco7a2lqamJs8+ET/kzddW+Pb1XbZsGfX19VxxxRUeG3+gk4AlQN1+++1s376d119/3ePXLikp4aabbuK6667ju+++Y82aNZjNZi677DKUflAY2Zuv7U033cSiRYu44IILMJvNnHzyySxYsACg19bqwcITr+/27du56KKLuP/++znnnHM8OLrAJq+td/nq9X311Vd58MEHeeONN0hOTnb7sYJN/3iHDDKLFi3igw8+4IsvviAzM9Px/dTUVCwWC9XV1Z3OLy0tJTU11enrL1++nLi4OB599FGmTJnC6aefzssvv0xeXh7r16/31NPwS95+bQ0GA4888gj19fUcOXKEkpISZsyYAcDQoUM98hz8mSde3507d3LWWWdx88038/vf/77Tz1JTU0/YuVVaWkpsbCwRERGefTJ+xtuvbX/nq9f39ddf58Ybb+SNN944YXmzv5OAJYAoisKiRYt45513+PzzzxkyZEinn0+dOpXQ0FDy8vIc39uzZw/5+fnMmjXL6cdpbGw84dO+yWQC1CnRYOSr11ZjMpnIyMjAbDbz2muvMWvWLAYOHNjn5+GvPPX67tixg7lz53Ldddfxpz/96YTHmTVrVqdrAKxatcqtv6NA4avXtr/y5ev72muvsXDhQl577TXOP/987zyhQKZnxq9wza233qrExcUpq1evVoqLix23xsZGxzm33HKLMmjQIOXzzz9Xvv/+e2XWrFnKrFmzOl1n3759yubNm5Wf/exnysiRI5XNmzcrmzdvVlpaWhRFUZS8vDzFYDAoDz74oLJ3715l48aNSm5urjJ48OBOjxVMfPXalpeXK08//bSya9cuZfPmzcrPf/5zJTw8XFm/fr1Pn6+veeL1/eGHH5SBAwcq11xzTadrlJWVOc45ePCgEhkZqdx9993Krl27lOXLlysmk0lZuXKlT5+vL/nqtVUUxfHveerUqcpVV12lbN68WdmxY4fPnqsefPX6vvLKK0pISIiyfPnyTudUV1f79Pn6MwlYAgjQ5e0///mP45ympibltttuUxISEpTIyEjlkksuUYqLiztdZ86cOV1e59ChQ45zXnvtNWXKlClKVFSUMnDgQOVHP/qRsmvXLh89U9/z1WtbXl6unHzyyUpUVJQSGRmpnHXWWcq6det8+Ez14YnX9/777+/yGoMHD+70WF988YUyefJkxWw2K0OHDu30GMHIl6+tM+cEG1+9vt29d1x33XW+e7J+zqAo/SCLUgghhBABTXJYhBBCCOH3JGARQgghhN+TgEUIIYQQfk8CFiGEEEL4PQlYhBBCCOH3JGARQgghhN+TgEUIIYQQfk8CFiGEEEL4PQlYhBC6OuOMM7jzzjv1HoYQws9JwCKECBirV6/GYDCc0BlXCBH8JGARQgghhN+TgEUI4TMNDQ1ce+21REdHk5aWxl/+8pdOP3/ppZeYNm0aMTExpKamctVVV1FWVgbA4cOHmTt3LgAJCQkYDAauv/56AGw2G0uXLmXIkCFEREQwadIk3nrrLZ8+NyGEd0nAIoTwmbvvvps1a9bw3nvv8emnn7J69Wo2bdrk+HlraysPPfQQW7du5d133+Xw4cOOoCQrK4v//ve/AOzZs4fi4mKefPJJAJYuXcqLL77IM888w44dO7jrrru45pprWLNmjc+foxDCO6RbsxDCJ+rr6xkwYAAvv/wyl19+OQDHjh0jMzOTm2++mSeeeOKE+3z//fdMnz6duro6oqOjWb16NXPnzqWqqor4+HgAWlpaSExM5LPPPmPWrFmO+9544400Njby6quv+uLpCSG8LETvAQgh+ocDBw5gsViYOXOm43uJiYmMGjXK8eeNGzfywAMPsHXrVqqqqrDZbADk5+czduzYLq+7f/9+GhsbOfvsszt932KxMGXKFC88EyGEHiRgEUL4hYaGBnJzc8nNzeWVV15h4MCB5Ofnk5ubi8Vi6fZ+9fX1AHz44YdkZGR0+llYWJhXxyyE8B0JWIQQPjFs2DBCQ0NZv349gwYNAqCqqoq9e/cyZ84cdu/eTWVlJQ8//DBZWVmAuiTUkdlsBsBqtTq+N3bsWMLCwsjPz2fOnDk+ejZCCF+TgEUI4RPR0dHccMMN3H333QwYMIDk5GTuuecejEY193/QoEGYzWb+9re/ccstt7B9+3YeeuihTtcYPHgwBoOBDz74gPPOO4+IiAhiYmL41a9+xV133YXNZuO0006jpqaGb775htjYWK677jo9nq4QwsNkl5AQwmcee+wxZs+ezYUXXkhOTg6nnXYaU6dOBWDgwIE8//zzvPnmm4wdO5aHH36YZcuWdbp/RkYGDz74IL/97W9JSUlh0aJFADz00EPce++9LF26lDFjxjBv3jw+/PBDhgwZ4vPnKITwDtklJIQQQgi/JzMsQgghhPB7ErAIIYQQwu9JwCKEEEIIvycBixBCCCH8ngQsQgghhPB7ErAIIYQQwu9JwCKEEEIIvycBixBCCCH8ngQsQgghhPB7ErAIIYQQwu9JwCKEEEIIv/f/mEUBfAe2WLgAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "MCAR.SMB.plot()\n",
    "MCAR.HML.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f4e7303d",
   "metadata": {},
   "source": [
    "Plot the unexplained risk contribution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "8c68b430",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='date'>"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "(1 - (MCAR.SMB + MCAR.HML)).plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e6bec809",
   "metadata": {},
   "source": [
    "**Jason Strimpel** is the founder of <a href='https://pyquantnews.com/'>PyQuant News</a> and co-founder of <a href='https://www.tradeblotter.io/'>Trade Blotter</a>. His career in algorithmic trading spans 20+ years. He previously traded for a Chicago-based hedge fund, was a risk manager at JPMorgan, and managed production risk technology for an energy derivatives trading firm in London. In Singapore, he served as APAC CIO for an agricultural trading firm and built the data science team for a global metals trading firm. Jason holds degrees in Finance and Economics and a Master's in Quantitative Finance from the Illinois Institute of Technology. His career spans America, Europe, and Asia. He shares his expertise through the <a href='https://pyquantnews.com/subscribe-to-the-pyquant-newsletter/'>PyQuant Newsletter</a>, social media, and has taught over 1,000+ algorithmic trading with Python in his popular course **<a href='https://gettingstartedwithpythonforquantfinance.com/'>Getting Started With Python for Quant Finance</a>**. All code is for educational purposes only. Nothing provided here is financial advise. Use at your own risk."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "cb2aba47-53d1-4a2f-b855-2ba1ac0bfe10",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "jupytext": {
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